If a real number and a matrix satisfy

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

Problem

If a real number kk and a matrix AA satisfy kA=OkA = O, where OO is the zero matrix of the same order as AA, which one of the following must be true? (a) k=0k=0 (b) AA is the identity matrix (c) k=0k=0 or A=OA=O (d) Both kk and AA must be zero

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