Gce Model Questions Vol1 2023 Further Mathematics Question 4

Practice objective / multiple choice question 4 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 4 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

Let \(A=\begin{pmatrix}2&k\\k&5\end{pmatrix}\) where \(k\) is an integer. Find all integer values of \(k\) for which \(A\) is invertible and the inverse matrix \(A^{-1}\) has only integer entries.

Answer Options

A. {-2, 2}
Correct Answer B. {-3, 3}
C. {-3, 4}
D. {-4, 4}
Correct Answer
B
Correct Option:
{-3, 3}

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 4. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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