Gce Model Questions Vol1 2019 Further Mathematics Question 17
Practice objective / multiple choice question 17 from the 2019 Gce Model Questions Vol1 Further Mathematics examination.
The 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 \(T(1,2)=(3,5)\) and \(T(2,-1)=(k,4)\). Moreover, the area scaling factor of \(T\) is \(6\) (that is, \(|\det A|=6\)). Determine the value of \(k\) and the matrix \(A\).
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About This Question
This is Gce Model Questions Vol1 2019 Further Mathematics Question 17. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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