Gce Model Questions Vol1 2017 Further Mathematics Question 11
Practice objective / multiple choice question 11 from the 2017 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 \((1,2)\) to \((3,5)\) and maps \((2,-1)\) to \((k,4)\). Determine the value of \(k\) for which \(A\) is invertible with determinant \(2\). Then find the image of the vector \((4,0)\) under the inverse transformation \(T^{-1}\).
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This is Gce Model Questions Vol1 2017 Further Mathematics Question 11. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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