Gce Model Questions Vol1 2023 Further Mathematics Question 43
Practice objective / multiple choice question 43 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.
Let \(A=\begin{pmatrix}2&k\\-1&3\end{pmatrix}\). The linear transformation defined by \(A\) has an eigenvalue \(\lambda=5\) and maps the vector \((1,2)\) to \((-10,5)\). Determine \(k\) and then compute \(\det\bigl(A^{2}-4A+I\bigr)\), where \(I\) is the \(2\times2\) identity matrix.
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About This Question
This is Gce Model Questions Vol1 2023 Further Mathematics Question 43. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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