Gce Model Questions Vol1 2019 Further Mathematics Question 50
Practice objective / multiple choice question 50 from the 2019 Gce Model Questions Vol1 Further Mathematics examination.
The linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) is represented in the standard basis by the matrix \(A=\begin{pmatrix}4&-1\\2&1\end{pmatrix}\). Let the new basis be \(v_{1}=(1,2)^{T},\;v_{2}=(3,1)^{T}\). (i) Find the matrix \(B\) of \(T\) relative to this basis. (ii) Determine the eigenvalues of \(B\).
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This is Gce Model Questions Vol1 2019 Further Mathematics Question 50. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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