MathCastle
Linear AlgebraMediumMatrices & Systems

Matrices & Systems · Medium problem

Invertible matrices AA and BB have A−1=(2103)A^{-1} = \begin{pmatrix}2 & 1\\0 & 3\end{pmatrix} and B−1=(1−124)B^{-1} = \begin{pmatrix}1 & -1\\2 & 4\end{pmatrix}. Find the entry in row 1, column 2 of (AB)−1(AB)^{-1}.