AQA Further Paper 1 2022 June — Question 4 1 marks

Exam BoardAQA
ModuleFurther Paper 1 (Further Paper 1)
Year2022
SessionJune
Marks1
TopicInvariant 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.
[0pt] [1 mark]
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