Gce Model Questions Vol1 2024 Further Mathematics Question 5
Practice objective / multiple choice question 5 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.
A linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) is represented in the standard basis by the matrix \(A=\begin{pmatrix}a&b\\c&d\end{pmatrix}\). It satisfies \(T(1,2)=(3,5)\) and \(T(2,-1)=(0,k)\), where \(k\) is a real number. Moreover, \(\det A =4\). Find the value of \(k\).
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This is Gce Model Questions Vol1 2024 Further Mathematics Question 5. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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