Gce Model Questions Vol1 2021 Further Mathematics Question 32
Practice objective / multiple choice question 32 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.
A linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) is represented by a matrix \(A\). It is known that \(T\) leaves the vector \((1,1)\) unchanged, and that \(T(1,2)=(3,5)\). Moreover, the determinant of \(A\) is \(2\). Find the image of the vector \((2,-1)\) under \(T\) and give the trace of \(A\).
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This is Gce Model Questions Vol1 2021 Further Mathematics Question 32. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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