(a) True or False, If A and B are (2 x 2) matrices, then det(A + B) = det(A) + det (B) Justify your response using a numerical example. (b) True or False, If A is an (n x n) matrix and c is a scalar, then det(cA) = c det(A) Justify your response using a numerical example. (c) Create a (2 x 2) matrix for A, B, C and D and use them to solve for X in the following equation. A(B + CX) = D

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