1. Let A= -1 2 B= 2 1 52 13 D= 1 31 01 E= 3...

 

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1. Let A= -1 2 B= 2 1 52 13 D= 1 31 01 E= 3 24 -112 5 13 Evaluate each of the following expressions or explain why it is undefined. (a) (3 points) DT (AET)-4(ED)T (b) (2 points) det(C) (c) (2 points) Tr(A) (d) (3 points) (2B)-1 2. (5 points) Let A and B be 4 x 4 matrices such that det(A) = 2 and det(B) = -3. Find det (-A5B). 1. Let A= -1 2 B= 2 1 52 13 D= 1 31 01 E= 3 24 -112 5 13 Evaluate each of the following expressions or explain why it is undefined. (a) (3 points) DT (AET)-4(ED)T (b) (2 points) det(C) (c) (2 points) Tr(A) (d) (3 points) (2B)-1 2. (5 points) Let A and B be 4 x 4 matrices such that det(A) = 2 and det(B) = -3. Find det (-A5B).