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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