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(1) (a) (5 pts) Find 4 x 4 matrices A, B, C so that AB = AC = 0, but BA =/= 0 and B

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(1) (a) (5 pts) Find 4 x 4 matrices A, B, C so that AB = AC = 0, but BA =/= 0 and B =/= C.

(b) (10 pts) Find a solution for the following matrix equation (if exists): [Shown in image]

(1) (a) (5 pts) Find 44 matrices A,B,C so that AB=AC=0, but BA=0 and B=C. (b) (10 pts) Find a solution for the following matrix equation (if exists): 100111100111X=11112314

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