Neco 2025 Further Mathematics Question 20
Practice objective / multiple choice question 20 from the 2025 Neco Further Mathematics examination.
A linear transformation \\(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\\) is represented by the matrix \\(M=\begin{pmatrix} a & b \\ c & d \end{pmatrix}\\). It is known that \(T\) maps \((1,2)\) to \((3,4)\) and maps \((2,-1)\) to \((k,5)\). Moreover the determinant of \(M\) equals \(6\). Find the value of \(k\) and then give the trace \(a+d\) of \(M\).
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About This Question
This is Neco 2025 Further Mathematics Question 20. It is one of the objective questions from the 2025 Neco Further Mathematics examination.
Difficulty level: Hard .
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