Neco 2022 Further Mathematics Question 15
Practice objective / multiple choice question 15 from the 2022 Neco Further Mathematics examination.
A linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) is represented in the standard basis by the matrix \(M=\begin{pmatrix}a&b\\c&d\end{pmatrix}\). The transformation satisfies \(T(1,1) = (5,7)\) and the vector \((1,-1)\) is an eigenvector of \(T\) with eigenvalue \(2\). Find the matrix \(M\) and then compute the \((1,2)\) entry of \(M^{3}\).
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About This Question
This is Neco 2022 Further Mathematics Question 15. It is one of the objective questions from the 2022 Neco Further Mathematics examination.
Difficulty level: Hard .
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