## Exam-Style Question on Matrices## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 1. This question is similar to one that appeared on an IB Standard paper in 2010. The use of a calculator is allowed.

Let \(A\) = \( \begin{pmatrix} 1 & 3 & 2 \\ 3 & 0 & 1 \\ 1 & 1 & 2 \\ \end{pmatrix} \) and \(B\) = \( \begin{pmatrix} 7 \\ 7 \\ 5 \\ \end{pmatrix} \)

(a) Write down \(A^{-1}\)

(b) Find \(X\) if \(AX=B\)

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