Neco 2024 Further Mathematics Question 17
Practice objective / multiple choice question 17 from the 2024 Neco Further Mathematics examination.
Let \(T:\mathbb{R}^2\to\mathbb{R}^2\) be a linear transformation represented by the matrix \(\begin{pmatrix}a&b\\c&d\end{pmatrix}\). It is known that \(T(1,2) = (4,1)\) and \(T(3,-1) = (k,6)\). Moreover, the determinant of the matrix is \(2\) and \(T(2,1) = (5,-1)\). Find the value of \(k\) and then determine the image of the vector \((2,5)\) under \(T\). Express your answer as \(k = \dots\) and \(T(2,5) = (\dots,\dots)\).
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About This Question
This is Neco 2024 Further Mathematics Question 17. It is one of the objective questions from the 2024 Neco Further Mathematics examination.
Difficulty level: Hard .
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