quiz4 - 1 20 30 2 67 2 . 3 2 3 5 8 13 3 e ln 2 1 / 2 1 1 1...

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MAS 3105 Quiz 4 October 7, 2010 1) Find the determinant of the following matrix. You may use any method you want, but show all of your work. A = 1 2 3 4 0 0 0 3 2 4 0 1 1 1 1 1 2) Give an example of a nonzero, 2 × 2, nilpotent matrix. Don’t make it too complicated. 3) Find matrices A and B such that det( A + B ) n = det A + det B . Again, I would suggest that you pick easy examples. 4) Begin with four 6 × 6 matrices A , B , C , and D . Assume that det A = 2, det B = 4, det C = 2, and D is the the matrix D =
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Unformatted text preview: 1 20 30 2 67 2 . 3 2 3 5 8 13 3 e ln 2 1 / 2 1 1 1 12 2 Determine the determinant of CA 3 B T CD-1 . 5) Determine if the set V is a subspace of R 4 . Yes or no, justify your answer. V = v 1 v 2 v 3 v 4 R 4 : v 1 v 2 = v 3 v 4...
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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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