Gce Model Questions Vol1 2025 Further Mathematics Question 12
Practice objective / multiple choice question 12 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
A linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) is represented by a \(2\times2\) matrix \(A\). It satisfies \(A\begin{pmatrix}1\\2\end{pmatrix}=\begin{pmatrix}3\\5\end{pmatrix}\) and \(A\begin{pmatrix}2\\1\end{pmatrix}=\begin{pmatrix}k\\7\end{pmatrix}\). If the determinant of \(A\) is \(2\), find the value of \(k\) and state the determinant of \(A\).
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This is Gce Model Questions Vol1 2025 Further Mathematics Question 12. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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