| Exam Board | AQA |
| Module | Further Paper 1 (Further Paper 1) |
| Year | 2022 |
| Session | June |
| Marks | 1 |
| Topic | Invariant lines and eigenvalues and vectors |
4 The vector \(\mathbf { v }\) is an eigenvector of the matrix \(\mathbf { N }\) with corresponding eigenvalue 4
The vector \(\mathbf { v }\) is also an eigenvector of the matrix \(\mathbf { M }\) with corresponding eigenvalue 3
Given that
$$\mathbf { N M } ^ { 2 } \mathbf { v } = \lambda \mathbf { v }$$
find the value of \(\lambda\)
Circle your answer.
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