Neco 2022 Further Mathematics Question 2

Practice objective / multiple choice question 2 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 2 NECO • 2022 • FURTHER_MATHEMATICS • objective

The matrix \(M=\begin{pmatrix}a&1\\2&3\end{pmatrix}\) is invertible and its inverse has all integer entries. Find the integer value of \(a\) and give \(M^{-1}\).

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

B. a = 1; M^{-1}=\\begin{pmatrix}1&0\\0&1\\end{pmatrix}

C. a = -1; M^{-1}=\\begin{pmatrix}-3&1\\2&-1\\end{pmatrix}

D. a = 2; M^{-1}=\\begin{pmatrix}3&-1\\-2&1\\end{pmatrix}

Correct Answer

Correct Option:

a = 1; M^{-1}=\begin{pmatrix}3&-1\\-2&1\end{pmatrix}

This is Neco 2022 Further Mathematics Question 2. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Medium .

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