Gce Model Questions Vol1 2025 Further Mathematics Question 3
Practice objective / multiple choice question 3 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Let $A=\begin{pmatrix}k&1&0\\0&k&0\\0&0&k\end{pmatrix}$. Suppose $A$ satisfies $A^{2}=2A-I$, where $I$ is the $3\times3$ identity matrix. Find the value of $k$, and then compute $\det(A+I)$. Give the determinant as an integer.
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This is Gce Model Questions Vol1 2025 Further Mathematics Question 3. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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