Gce Model Questions Vol1 2021 Further Mathematics Question 7

Practice objective / multiple choice question 7 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 7 GCE_MODEL_QUESTIONS_VOL1 • 2021 • FURTHER_MATHEMATICS • objective

A \(2\times2\) matrix \(P\) has determinant \(3\). The product \(PQ\) equals \(\begin{pmatrix}5&2\\2&5\end{pmatrix}\), where \(Q\) is a symmetric \(2\times2\) matrix with integer entries and whose eigenvalues are positive integers. Determine the trace of \(Q\).

Answer Options

A. 6
B. 9
Correct Answer C. 8
D. 10
Correct Answer
C
Correct Option:
8

About This Question

This is Gce Model Questions Vol1 2021 Further Mathematics Question 7. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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