Gce Model Questions Vol1 2020 Further Mathematics Question 16
Practice objective / multiple choice question 16 from the 2020 Gce Model Questions Vol1 Further Mathematics examination.
A linear transformation \(T:\mathbb{R}^2\to\mathbb{R}^2\) is represented by a matrix \(A=\begin{pmatrix}a&b\\c&d\end{pmatrix}\). It is known that \(T\) maps the vector \((1,2)\) to \((3,5)\) and maps the vector \((2,-1)\) to \((k,4)\). Moreover, the transformation has determinant \(1\). Find the value of \(k\) and then compute the trace of \(A\) (i.e. \(a+d\)).
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This is Gce Model Questions Vol1 2020 Further Mathematics Question 16. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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