Let and . If , find the value of…

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

Problem

Let A=(12−1k)A=\begin{pmatrix}1 & 2 \\ -1 & k\end{pmatrix} and B=(k−211)B=\begin{pmatrix}k & -2 \\ 1 & 1\end{pmatrix}. If AB=I2AB=I_2, find the value of kk. (a) k=−2k=-2 (b) k=0k=0 (c) k=−1k=-1 (d) k=1k=1

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