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Unformatted text preview: 3 2 4 0 1-2 0 0 4 . Can you nd det A ? If yes, nd it; if not, explain why. (b) Repeat part (a) for a matrix that can be reduced to 3 2 4 0 1-2 0 0 5. Use determinants to decide whether 7-4-6 , -8 5 7 , 7-5 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