Gce Model Questions Vol1 2018 Further Mathematics Question 36
Practice objective / multiple choice question 36 from the 2018 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 \(T(1,2)=(3,5)\) and \(T(2,-1)=(k,4)\). Moreover, the transformation scales areas by a factor of \(3\) (i.e. \(\det A = 3\)). Find the value of \(k\).
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This is Gce Model Questions Vol1 2018 Further Mathematics Question 36. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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