Solved: State (with a brief explanation) whether the following statements are true or
Chapter 2, Problem 43(choose chapter or problem)
State (with a brief explanation) whether the following statements are true or false for matrices A, B, C, and D. (a) A 2 - B2 = (A + B)(A - B) (b) A( B + C + D) = AB + AC + AD (c) IfA is anm X nmatrix,B isn X r,and C isr X qthen ABC has m + q elements. (d) If A 2 = A then A' = A for all positive integer values ofr. (e) If X1 is a solution of AX = B1 and X2 is a solution of AX= B2then X1 + X2is a solution ofAX = B1 + B2
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