Gce Model Questions Vol1 2017 Further Mathematics Question 45

Practice objective / multiple choice question 45 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 45 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

Let \(A\) be a real \(2\times2\) matrix satisfying \(A^{2}= \begin{pmatrix}5 & 4\\ -2 & 1\end{pmatrix}\) and \(\det A>0\). Determine the trace \(\operatorname{tr}(A)\) of \(A\).

Answer Options

A. \sqrt{4\sqrt{13}+6}
B. \sqrt{2\sqrt{13}-6}
C. \sqrt{2\sqrt{13}+8}
Correct Answer D. \sqrt{2\sqrt{13}+6}
Correct Answer
D
Correct Option:
\sqrt{2\sqrt{13}+6}

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 45. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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