A2 June 2022 Paper 1 Q4

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

\[\mathbf{NM}^2\mathbf{v} = \lambda\mathbf{v}\]

find the value of \(\lambda\)

Circle your answer. [1 mark]

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