Unformatted text preview: 3 2 4 0 12 0 0 4 . Can you ﬁnd det A ? If yes, ﬁnd it; if not, explain why. (b) Repeat part (a) for a matrix that can be reduced to 3 2 4 0 12 0 0 5. Use determinants to decide whether 746 , 8 5 7 , 75 are linearly dependent or independent. 6. Prove that if A and B are n × n matrices and AB is invertible then A and B are invertible 7. Prove that if A is a non invertible n × n matrix and B is an arbitrary n × n matrix then AB is not invertible 8. Suppose A in an n × n matrix with A 2 =I . Prove that n is even....
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 Fall '10
 yildiz
 Math, Linear Algebra, Invertible matrix, Det, Discussion Section Problems

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