| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2006 |
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| Session | November |
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| Topic | Invariant lines and eigenvalues and vectors |
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1 It is given that
$$\mathbf { A } = \left( \begin{array} { r r r }
1 & - 1 & - 2
0 & 2 & 1
0 & 0 & - 3
\end{array} \right)$$
Write down the eigenvalues of \(\mathbf { A }\) and find corresponding eigenvectors.