The matrices are given. (a) Which of the following make sense: AB, AC, BC, AB T ,

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The matrices

and A = [12 30 2 [1 2] C = 3 1 2 3 B = [4 1 31 0 2 1

are given.

(a) Which of the following make sense: AB, AC, BC, ABT, ACT and BCT?

(b) Evaluate those products that do exist.

(c) Evaluate (ATB)C and AT(BC) and show that they are equal.

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