| Exam Board | AQA |
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| Module | Further AS Paper 1 (Further AS Paper 1) |
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| Year | 2018 |
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| Session | June |
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| Topic | Invariant lines and eigenvalues and vectors |
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7 Find two invariant points under the transformation given by \(\left[ \begin{array} { l l } 2 & 3
1 & 4 \end{array} \right]\)
\(82 - 3 \mathrm { i }\) is one root of the equation
$$z ^ { 3 } + m z + 52 = 0$$
where \(m\) is real.