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0606 P22 - Jun 2018 - Q8 - 7 marks
8463

(a) Given

\(A=\begin{pmatrix}2&-1\\1&-3\end{pmatrix}, \qquad B=\begin{pmatrix}0&-2\\3&-5\end{pmatrix},\)

find \((BA)^{-1}\).

(b) The matrix \(X\) is such that \(XC=D\), where

\(C=\begin{pmatrix}-2&5&3\\0&10&4\end{pmatrix}, \qquad D=\begin{pmatrix}-4&5&4\end{pmatrix}.\)

(i) State the order of the matrix \(C\).

(ii) Find the matrix \(X\).

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