/ 027 - Considerando-se os seguintes vetores Considerando-se os seguintes vetores (#a, #b, #c) (#d, #e, #f) (#g, #h, #i).

Qual é a dimensão do subespaço que eles formam?

{#1}

O que esses vetores podem representar graficamente?

{#2}

]]> Essa solução será obtida pela aplicação da função "rank" (Matlab) sobre a matriz formada pelas coordenadas dos vetores.

A função "rank" fornece uma estimativa do número de linhas ou colunas linearmente independentes de uma matriz completa.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#913;«/mi»«mo»=«/mo»«mfenced open=¨|¨ close=¨|¨»«mtable»«mtr»«mtd»«mo»#«/mo»«mi»a«/mi»«/mtd»«mtd»«mo»#«/mo»«mi»b«/mi»«/mtd»«mtd»«mo»#«/mo»«mi»c«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»#«/mo»«mi»d«/mi»«/mtd»«mtd»«mo»#«/mo»«mi»e«/mi»«/mtd»«mtd»«mo»#«/mo»«mi»f«/mi»«/mtd»«/mtr»«mtr»«mtd»«mo»#«/mo»«mi»g«/mi»«/mtd»«mtd»«mo»#«/mo»«mi»h«/mi»«/mtd»«mtd»«mo»#«/mo»«mi»i«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»;«/mo»«mo»§#160;«/mo»«mi»r«/mi»«mi»a«/mi»«mi»n«/mi»«mi»k«/mi»«mo»(«/mo»«mi»A«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«mn»1«/mn»«mo».«/mo»«mspace linebreak=¨newline¨/»«/math»

Portanto, os vetores (#a, #b, #c) (#d, #e, #f) (#g, #h, #i) pode representar #sol2.

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