CAPE Pure Mathematics Unit 2 · May/June 2008 (Rest of Region) · Paper 2 · Question 5(b)(iii)
Given the matrices A = \begin{pmatrix} 3 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & -1 & 0 \end{pmatrix}, B = \begin{pmatrix} 1 & -1 & 1 \\ 0 & 0 & -1 \\ -1 & 3 & -1 \end{pmatrix} and M = \begin{pmatrix} 1 & 0 & 1 \\ 0 & 0 & -3 \\ -1 & 3 & -1 \end{pmatrix}.
Find the matrix X such that AX + B = A.
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