ÁLGEBRA 2/1. MATRICES y SISTEMAS DE ECUACIONES/Operatoria de Matrices/Basica (suma y productos) 01 - SUMA DE MATRICES Determine el resultado de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»M«/mi»«mn»1«/mn»«mo»+«/mo»«mo»#«/mo»«mi»M«/mi»«mn»2«/mn»«/math»

]]> 1.0000000 0.3333333 0 0 #sol #retropersonal

obs: Trabaja con valores exactos

]]> 1.0000000 0.3333333 0 0 #sol #retropersonal

obs:trabaja con valores exactos

]]> 1.0000000 0.3333333 0 0 #sol #retropersonal

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mfrac><mrow><mi>l</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd><mtd><mfrac><mrow><mi>l</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd></mtr><mtr><mtd><mfrac><mrow><mi>r</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mfrac><mrow><mi>r</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd></mtr><mtr><mtd><mfrac><mrow><mi>r</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>t</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>s</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>t</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>t</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>s</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>t</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>t</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd><mtd><mfrac><mrow><mi>l</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>M1</mi><mo>=</mo><mi>A</mi></mrow><mrow><mi>M2</mi><mo>=</mo><mi>C</mi></mrow><mrow><mi>M2</mi><mo>=</mo><mi>D</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>M1</mi><mo>*</mo><mi>M2</mi></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Retroalimentación</mi></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>retropersonal</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mo>"</mo><mi>Bien</mi><mo>.</mo><mo> </mo><mi>Continúa</mi><mo> </mo><mi>de</mi><mo> </mo><mi>esa</mi><mo> </mo><mi>manera</mi><mo>.</mo><mo>"</mo><mo>,</mo><mo>"</mo><mo>¡</mo><mi>Muy</mi><mo> </mo><mi>bien</mi><mo>!</mo><mo> </mo><mi>Sigue</mi><mo> </mo><mi>así</mi><mo>.</mo><mo>"</mo><mo>,</mo><mo>"</mo><mo>¡</mo><mi>Excelente</mi><mo>!</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>Felicitaciones</mi><mo>,</mo><mo> </mo><mo>¡</mo><mi>muy</mi><mo> </mo><mi>bien</mi><mo>!</mo><mo>"</mo><mo>}</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mfrac><mn>3</mn><mn>2</mn></mfrac></mtd></mtr><mtr><mtd><mo>-</mo><mfrac><mn>7</mn><mn>2</mn></mfrac></mtd><mtd><mo>-</mo><mn>7</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mo>-</mo><mn>3</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mo>-</mo><mfrac><mn>23</mn><mn>2</mn></mfrac></mtd><mtd><mo>-</mo><mn>6</mn></mtd></mtr><mtr><mtd><mfrac><mn>21</mn><mn>2</mn></mfrac></mtd><mtd><mfrac><mn>21</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 04 - MULTIPLICACIÓN DE MATRICES (no cuadradas) Determine el resultado de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»M«/mi»«mn»1«/mn»«mo»*«/mo»«mo»#«/mo»«mi»M«/mi»«mn»2«/mn»«/math»

obs:trabaja con valores exactos

]]> 1.0000000 0.3333333 0 0 #sol #retropersonal

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>s</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>t</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mfrac><mrow><mi>r</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd><mtd><mfrac><mrow><mi>l</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd><mtd><mfrac><mrow><mi>r</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd></mtr><mtr><mtd><mi>s</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mfrac><mrow><mi>l</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd><mtd><mi>s</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd><mtd><mfrac><mrow><mi>r</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd></mtr><mtr><mtd><mi>s</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>s</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>l</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>s</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>t</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>r</mi><mo>(</mo><mo>)</mo></mtd><mtd><mfrac><mrow><mi>r</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd><mtd><mfrac><mrow><mi>l</mi><mo>(</mo><mo>)</mo></mrow><mrow><mi>s</mi><mo>(</mo><mo>)</mo></mrow></mfrac></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>M1</mi><mo>=</mo><mi>A</mi></mrow><mrow><mi>M2</mi><mo>=</mo><mi>C</mi></mrow><mrow><mi>M2</mi><mo>=</mo><mi>D</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>M1</mi><mo>*</mo><mi>M2</mi></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Retroalimentación</mi></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>retropersonal</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mo>"</mo><mi>Bien</mi><mo>.</mo><mo> </mo><mi>Continúa</mi><mo> </mo><mi>de</mi><mo> </mo><mi>esa</mi><mo> </mo><mi>manera</mi><mo>.</mo><mo>"</mo><mo>,</mo><mo>"</mo><mo>¡</mo><mi>Muy</mi><mo> </mo><mi>bien</mi><mo>!</mo><mo> </mo><mi>Sigue</mi><mo> </mo><mi>así</mi><mo>.</mo><mo>"</mo><mo>,</mo><mo>"</mo><mo>¡</mo><mi>Excelente</mi><mo>!</mo><mo>"</mo><mo>,</mo><mo>"</mo><mi>Felicitaciones</mi><mo>,</mo><mo> </mo><mo>¡</mo><mi>muy</mi><mo> </mo><mi>bien</mi><mo>!</mo><mo>"</mo><mo>}</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>4</mn></mtd><mtd><mn>4</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>4</mn></mtd><mtd><mfrac><mn>7</mn><mn>2</mn></mfrac></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>16</mn></mtd></mtr><mtr><mtd><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mtd><mtd><mn>8</mn></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 07 - PRODUCTO DE MATRICES «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»§#183;«/mo»«mi»B«/mi»«/math», donde «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»=«/mo»«mi»#A«/mi»«/math» y «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»B«/mi»«mo»=«/mo»«mi»#B«/mi»«/math».]]> 1.0000000 0.1000000 0 0 #M ]]> <question><wirisCasSession><session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd><mtd><mi>random</mi><mfenced><mrow><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn></mrow></mfenced></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mo>=</mo><mi>A</mi><mo>·</mo><mi>B</mi></math></input></command></group></library></session></wirisCasSession><correctAnswers><correctAnswer type="mathml"> #M </correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="0"/><assertion name="equivalent_symbolic" correctAnswer="0"/></assertions><localData><data name="inputField">inlineEditor</data><data name="inputCompound">false</data><data name="cas">false</data></localData></question> U1 Matrices: Problema de matrices con dos parámetros

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»+«/mo»«mi»m«/mi»«mo»§#183;«/mo»«mi»A«/mi»«mo»+«/mo»«mi»n«/mi»«mo»§#183;«/mo»«mi»I«/mi»«mo»=«/mo»«mn»0«/mn»«/math»

Siendo «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»I«/mi»«/math» la matriz identidad correspondiente y «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«/math» la matriz nula correspondiente.

]]>

Al realizar los productos y sumas de la expresión A + m·A + n·I = 0, obtenemos la siguiente igualdad:

#P = #O

Resolvemos entonces las 4 ecuaciones:

#e1 = 0

#e2 = 0

#e3 = 0

#e4 = 0

Y obtenemos que: m = #m y n = #n.

]]> 1.0000000 0.1000000 0 0 m=#mn=#n]]> <question><wirisCasSession><session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mm</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>nn</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>i</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>}</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>A</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>i</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>i</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>i</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced></mrow><mrow><mi>rango</mi><mo>(</mo><mi>A</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></apply></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>[</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo>]</mo><mo>=</mo><mo>[</mo><mi>mm</mi><mo>,</mo><mi>nn</mi><mo>]</mo></math></input></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>4</mn><mo>+</mo><mn>4</mn><ms>m</ms><mo>+</mo><ms>n</ms></mtd><mtd><mn>3</mn><mo>+</mo><mn>3</mn><ms>m</ms></mtd></mtr><mtr><mtd><mn>3</mn><mo>+</mo><mn>3</mn><ms>m</ms></mtd><mtd><mn>4</mn><mo>+</mo><mn>4</mn><ms>m</ms><mo>+</mo><ms>n</ms></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>+</mo><mi>m</mi><mo>·</mo><mi>A</mi><mo>+</mo><mi>n</mi><mo>·</mo><msub><ident definitionURL="http://www.wiris.com/XML/csymbol"/><mn>2</mn></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session></wirisCasSession><correctAnswers><correctAnswer type="mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>#m</mi><mspace linebreak="newline"/><mi>n</mi><mo>=</mo><mi>#n</mi></math></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="0"/><assertion name="equivalent_symbolic" correctAnswer="0"/></assertions><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="inputCompound">true</data><data name="cas">false</data></localData></question> U1 Matrices: Problema de matrices con dos parámetros 2

A = #A, B = #B, C = #C y D = #D

Encontrar los valores de x e y que verifican la ecuación: A·B + C = 2D.

Indica tu respuesta así:

]]>

Multiplicamos las matrices A·B y obtenemos #AB.

Le sumamos la matriz C y obtenemos: #ABC. Al igualar esta matriz a la matriz 2·D, nos quedan las siguientes ecuaciones:

#e1

#e2

Resolviendo este sistema de ecuaciones obtenemos los valores: x = #x, y = #y.

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xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mo>-</mo><mn>4</mn></mtd><mtd><mn>6</mn></mtd><mtd><mo>-</mo><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>4</mn></mtd><mtd><mn>4</mn></mtd><mtd><mo>-</mo><mn>4</mn></mtd><mtd><mo>-</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>4</mn><ms>x</ms></mtd><mtd><mo>-</mo><mn>6</mn><ms>x</ms></mtd><mtd><mo>-</mo><mn>4</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>4</mn><ms>x</ms></mtd><mtd><mo>-</mo><mn>4</mn><ms>x</ms></mtd><mtd><mo>-</mo><mn>4</mn></mtd><mtd><mo>-</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>BB</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><ms>y</ms></mtd></mtr><mtr><mtd><mn>3</mn><ms>y</ms></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>CCC</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>6</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mo>-</mo><mn>6</mn><ms>x</ms></mtd></mtr><mtr><mtd><mn>6</mn><ms>y</ms></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>5</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session></wirisCasSession><correctAnswers><correctAnswer type="mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>#x</mi><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mi>#y</mi></math></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="0"/><assertion name="equivalent_symbolic" correctAnswer="0"/></assertions><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="inputCompound">true</data><data name="cas">false</data></localData></question> U1 Matrices: Suma y producto por número real 1 #expr

obs: I es la matriz identidad.

]]> 5.0000000 0.1000000 0 0 #sol <question><wirisCasSession><session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>AA</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>n</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>n</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>n</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>BB</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>n</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>n</mi><mo>(</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>(</mo><mo>)</mo></mtd><mtd><mi>n</mi><mo>(</mo><mo>)</mo></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>,</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>,</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>,</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>expr</mi><mo>=</mo><mi>sustituir_cadena</mi><mo>(</mo><mo>&quot;</mo><mo>#</mo><mn>1</mn><mo>&quot;</mo><mo>,</mo><mi>a</mi><mo>·</mo><mi>A</mi><mo>+</mo><mi>b</mi><mo>·</mo><mi>B</mi><mo>+</mo><mi>i</mi><mo>·</mo><mi>I</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>a</mi><mo>·</mo><mi>AA</mi><mo>+</mo><mi>b</mi><mo>·</mo><mi>BB</mi><mo>+</mo><mi>i</mi><mo>·</mo><msub><ident definitionURL="http://www.wiris.com/XML/csymbol"/><mn>2</mn></msub></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>AA</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>2</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>BB</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mo>-</mo><mn>4</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>expr</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mi>A</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>B</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>I</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><mn>2</mn></mtd><mtd><mo>-</mo><mn>8</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session></wirisCasSession><correctAnswers><correctAnswer type="mathml">#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="0"/><assertion name="equivalent_symbolic" correctAnswer="0"/></assertions><localData><data name="inputField">inlineEditor</data><data name="inputCompound">false</data><data name="cas">false</data></localData></question>