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0606 P23 - Nov 2018 - Q5 - 7 marks
8541

Given that

\(A=\begin{pmatrix}2&3\\1&4\end{pmatrix} \quad\text{and}\quad B=\begin{pmatrix}1&4\\-2&5\end{pmatrix},\)

find

(i) \(A^{-1}\),

(ii) the matrix \(C\) such that \(CA=B\),

(iii) the matrix \(D\) such that \(A^{-1}D+B=I\).

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