| Exam Board | OCR MEI |
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| Module | Further Pure Core AS (Further Pure Core AS) |
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| Year | 2023 |
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| Session | June |
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| Topic | Invariant lines and eigenvalues and vectors |
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9 A transformation T of the plane is represented by the matrix \(\mathbf { M } = \left( \begin{array} { c c } k + 1 & - 1
1 & k \end{array} \right)\), where \(k\) is a
constant. constant.
Show that, for all values of \(k , \mathrm {~T}\) has no invariant lines through the origin.