Let and be matrices of suitable orders so that the indicated operations are defined

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let A, BA,\,B and CC be matrices of suitable orders so that the indicated operations are defined. Which one of the following statements is always true? (a) (B+C)A=BA+AC(B + C)A = BA + AC (b) A(B+C)=AB+ACA(B + C) = AB + AC (c) AB=BAAB = BA (d) (AB)C=AC B(AB)C = AC\,B

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