Consider the matrices and

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

Problem

Consider the matrices A=[102010301]A = \begin{bmatrix}1&0&2\\0&1&0\\3&0&1\end{bmatrix} and B=[020100001]B = \begin{bmatrix}0&2&0\\1&0&0\\0&0&1\end{bmatrix}. What is the (2,3)(2,3) entry of the matrix AB−BAAB - BA? (a) 22 (b) 00 (c) −2-2 (d) 66

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