Neco 2021 Further Mathematics Question 14

Practice objective / multiple choice question 14 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 14 NECO • 2021 • FURTHER_MATHEMATICS • objective

Consider the matrix \( A = \begin{pmatrix} k & 2 & -1 \\ 3 & k & 4 \\ 5 & -2 & k \end{pmatrix} \).\n(a) Find all real values of \( k \) for which \( A \) is invertible.\n(b) For \( k = 1 \), compute the determinant of \( B = A^{2} - 3A + 2I \), where \( I \) is the \(3\times3\) identity matrix.

Answer Options

A. 1740
B. 1648
C. 1758
Correct Answer D. 1748
Correct Answer
D
Correct Option:
1748

About This Question

This is Neco 2021 Further Mathematics Question 14. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Medium .

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