0606 P21 - Nov 2019 - Q9 - 10 marks
8362
Given that
\(A=\begin{pmatrix}5&2\\-9&-3\end{pmatrix},\qquad B=\begin{pmatrix}2&1\\6&5\end{pmatrix},\)
find
(i) \(A^{-1}\),
(ii) \(B^2\),
(iii) the matrix \(C\), where \(B^{-1}C+A=B\),
(iv) the matrix \(D\), where \(B^{-2}DA=I\).
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