Neco 2024 Further Mathematics Question 28

Practice objective / multiple choice question 28 from the 2024 Neco Further Mathematics examination.

Neco 2024 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 28 NECO • 2024 • FURTHER_MATHEMATICS • objective

Let \(A=\begin{pmatrix}p & 4\\6 & p\end{pmatrix}\) where \(p\) is an integer. It is known that \(A\) is invertible and that every entry of \(A^{-1}\) is an integer. Find all possible values of \(p\) and state the determinant of \(A\).

Correct Answer A. p = 5 or -5; determinant = 1

B. p = 4 or -4; determinant = 2

C. p = 0 or 2; determinant = 4

D. p = 5; determinant = -1

Correct Answer

Correct Option:

p = 5 or -5; determinant = 1

This is Neco 2024 Further Mathematics Question 28. It is one of the objective questions from the 2024 Neco Further Mathematics examination.

Difficulty level: Medium .

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