Neco 2022 Further Mathematics Question 24

Practice objective / multiple choice question 24 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 24 NECO • 2022 • FURTHER_MATHEMATICS • objective

Let the linear transformation \(T:\mathbb{R}^{2}\to\mathbb{R}^{2}\) be represented by the matrix \(M=\begin{pmatrix}a&b\\c&d\end{pmatrix}\). It is known that \(T(1,2) = (3,5)\) and \(T(2,-1) = (0,k)\). Find the value of \(k\) for which the determinant of \(M\) equals \(4\), and state that determinant.

A. k = -10/3, determinant = 4

Correct Answer B. k = -20/3, determinant = 4

C. k = -5, determinant = 4

D. k = -20/3, determinant = 5

Correct Answer

Correct Option:

k = -20/3, determinant = 4

This is Neco 2022 Further Mathematics Question 24. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Hard .

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