quiz5 - MAS 3105 Quiz 5 1 For the following matrix A find...

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Unformatted text preview: MAS 3105 Quiz 5 October 14, 2010 1) For the following matrix A, find a basis for the column space, the row space, and the null space of A. 1 2 0 0 6 1 2 A= 3 −1 −1 −1 −1 2) Let T : R3 → R2 be the linear transformation x1 − x2 x1 T x2 = x2 − x3 x3 − x1 x3 Find a basis for the range of T and for the nullspace of T , and then determine if T is one-to-one and/or onto. 3) Determine if the set B is a basis of V . −1 1 B = 2 , 0 1 3 s 2s + 2t : s and t are scalars V= 3s + 4t 4) Write down a 2 × 2 matrix A whose column space is spanned by space is spanned by 1 . −1 1 2 and whose null ...
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This note was uploaded on 07/29/2011 for the course MAS 3105 taught by Professor Dreibelbis during the Fall '10 term at UNF.

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