Neco 2019 Further Mathematics Question 8

Practice objective / multiple choice question 8 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 8 NECO • 2019 • FURTHER_MATHEMATICS • objective

The matrix \(A=\begin{pmatrix}2 & k\\3 & 5\end{pmatrix}\) has an inverse whose entries are all integers. Determine the integer value of \(k\) and then find \(A^{-1}\).

Correct Answer A. k = 3; A^{-1}=\begin{pmatrix}5 & -3\\-3 & 2\end{pmatrix}

B. k = 2; A^{-1}=\begin{pmatrix}5 & -2\\-3 & 2\end{pmatrix}

C. k = 4; A^{-1}=\begin{pmatrix}5 & -3\\-4 & 2\end{pmatrix}

D. k = 3; A^{-1}=\begin{pmatrix}5 & -3\\-3 & 3\end{pmatrix}

Correct Answer

Correct Option:

k = 3; A^{-1}=\begin{pmatrix}5 & -3\\-3 & 2\end{pmatrix}

This is Neco 2019 Further Mathematics Question 8. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Medium .

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