For the matrix with

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

Problem

For the matrix A=(abcd)A = \begin{pmatrix} a & b \\ c & d \end{pmatrix} with ad−bc≠0ad-bc \neq 0, which of the following correctly represents A−1A^{-1}? (a) 1ad−bc(a−c−bd)\dfrac{1}{ad-bc}\begin{pmatrix} a & -c \\ -b & d \end{pmatrix} (b) 1ad−bc(d−b−ca)\dfrac{1}{ad-bc}\begin{pmatrix} d & -b \\ -c & a \end{pmatrix} (c) 1bc−ad(d−b−ca)\dfrac{1}{bc-ad}\begin{pmatrix} d & -b \\ -c & a \end{pmatrix} (d) 1ad+bc(d−b−ca)\dfrac{1}{ad+bc}\begin{pmatrix} d & -b \\ -c & a \end{pmatrix}

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