Question

1) Use the associative and distributive laws for matrix multiplication (inner products) of these matrices and vectors, and specify the matrix space or vector space of which the result is an element.

Calculate AB, A(BC), A(BC), B+C, BC, CB, BA, [A]x, [A]b, bT[A], bT[A]x, 0[A], x+b, and 0x.