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0606 P21 - Jun 2019 - Q6 - 6 marks
8290

(a) \(A=\begin{pmatrix}x+3&-x\\2x&x-3\end{pmatrix}\). Given that \(A\) does not have an inverse, find the exact values of \(x\).

(b) \(B=\begin{pmatrix}0&3\\-4&1\\5&2\end{pmatrix}\) and \(C=\begin{pmatrix}0&1&2\\3&-4&5\end{pmatrix}\).

(i) Write down the order of matrix \(B\).

(ii) Explain why \(CB\ne BC\).

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