Gce Model Questions Vol1 2018 Further Mathematics Question 19
Practice objective / multiple choice question 19 from the 2018 Gce Model Questions Vol1 Further Mathematics examination.
A linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) is represented by the matrix \(A=\begin{pmatrix}1 & p\\ q & 4\end{pmatrix}\). It is known that \(T\) maps the vector \((2,-1)\) to \((3,5)\) and maps the vector \((1,1)\) to \((k,\,\tfrac{17}{2})\). Determine the value of \(k\) and state whether \(A\) is invertible.
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About This Question
This is Gce Model Questions Vol1 2018 Further Mathematics Question 19. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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