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Question text
Sigui A*=#Aamp la matriu ampliada d'un sistema. Marca les afirmacions que són certes:<br /><br />En el quadre inferior, desenvolupa l'estudi del rang de la matriu associada i del rang de la matriu ampliada per a raonar les afirmacions senyalades. <br />
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a., b., c., ...
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1., 2., 3., ...
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I., II., III., ...
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Algorithm
Choice 1
Answer
es tracta d'un sistema de #n equacions amb #n incògnites
Grade
None
100%
90%
83.33333%
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66.66667%
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14.28571%
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Feedback
Molt bé
Choice 2
Answer
el sistema és incompatible
Grade
None
100%
90%
83.33333%
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75%
70%
66.66667%
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33.33333%
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16.66667%
14.28571%
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Feedback
Per a ser incompatible, el rang de la matriu associada hauria de ser diferent de la matriu ampliada. Si has obtingut aquest resultat, cal que revisis el càlcul dels rangs.
Choice 3
Answer
el sistema és compatible indeterminat
Grade
None
100%
90%
83.33333%
80%
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70%
66.66667%
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33.33333%
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20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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Feedback
Molt bé
Choice 4
Answer
el sistema és compatible determinat
Grade
None
100%
90%
83.33333%
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66.66667%
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33.33333%
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Feedback
Per a ser compatible determinat, el rang de la matriu associada hauria de coincidir amb el rang de la matriu ampliada i ser màxim. Si has obtingut aquest resultat, cal que revisis el càlcul dels rangs.
Choice 5
Answer
Si el rang d'A és menor que #n, llavors ja podem afirmar que el rang de la matriu ampliada és menor que #n
Grade
None
100%
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83.33333%
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66.66667%
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16.66667%
14.28571%
12.5%
11.11111%
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Feedback
Fixa't que el rang de la matriu ampliada encara pot ser #n, malgrat que el rang d'A no ho sigui. Si un menor format per columnes d'A i la nova columna d' A<sup>* </sup> té determinant diferent de 0, llavors el rang de l'ampliada serà #n. Per exemple, considera A= #A i A<sup>* </sup> =#Aamp.<br />
Choice 6
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
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50%
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33.33333%
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Feedback
Choice 7
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
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16.66667%
14.28571%
12.5%
11.11111%
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Feedback
Choice 8
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
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16.66667%
14.28571%
12.5%
11.11111%
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Feedback
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100%
50%
33.33333%
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0%
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Wednesday, 12 June 2013, 1:03 PM
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Wednesday, 12 June 2013, 1:03 PM
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