Which of the following statements about the multiplication of two square matrices and…

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

Problem

Which of the following statements about the multiplication of two square matrices AA and BB of the same order is correct? (a) AB need not be equal to BA in generalAB \text{ need not be equal to } BA \text{ in general} (b) AB=BA for every pair of square matrices of the same orderAB = BA \text{ for every pair of square matrices of the same order} (c) AB is defined only when both A and B are diagonal matricesAB \text{ is defined only when both } A \text{ and } B \text{ are diagonal matrices} (d) If A and B are non-singular, then AB=BA\text{If } A \text{ and } B \text{ are non-singular, then } AB = BA

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