Neco 2022 Further Mathematics Question 42

Practice objective / multiple choice question 42 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 42 NECO • 2022 • FURTHER_MATHEMATICS • objective

Consider the matrix\n\\[B=\begin{pmatrix}1&2&k\\0&k-1&3\\4&5&6\end{pmatrix}.\\]\n(i) Determine all real values of \(k\) for which \(B\) is invertible. (ii) For \(k=4\), compute the determinant of \(B^{2}\).

A. B is invertible for all real k except k = (5\pm\sqrt{37})\/4; for k = 4, det(B²) = 484

Correct Answer B. B is invertible for all real k except k = (5±√37)/4; for k = 4, det(B²) = 441

C. B is invertible for all real k except k = (5\pm\sqrt{33})\/4; for k = 4, det(B²) = 400

D. B is invertible for all real k except k = (5\pm\sqrt{37})\/2; for k = 4, det(B²) = 441

Correct Answer

Correct Option:

B is invertible for all real k except k = (5±√37)/4; for k = 4, det(B²) = 441

This is Neco 2022 Further Mathematics Question 42. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Medium .

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