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

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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 . A = 1 2 0 0 3 6 1 2 - 1 - 1 - 1 - 1 2) Let T : R 3 R 2 be the linear transformation T x 1 x 2 x 3 = x 1 - x 2 x 2 - x 3 x 3 - x 1 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 . B =
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