Neco 2025 Further Mathematics Question 1

Practice objective / multiple choice question 1 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 1 NECO • 2025 • FURTHER_MATHEMATICS • objective

The matrix \(A = \begin{pmatrix} 1 & 2 & k \\ 0 & 1 & 3 \\ 4 & 0 & 1 \end{pmatrix}\) satisfies \(\det A = 5\). Find the value of \(k\) and then compute the trace of \(A^{2}\).

Answer Options

Correct Answer A. k = 5; trace of A^2 = 43
B. k = 4; trace of A^2 = 35
C. k = 6; trace of A^2 = 51
D. k = 5; trace of A^2 = 39
Correct Answer
A
Correct Option:
k = 5; trace of A^2 = 43

About This Question

This is Neco 2025 Further Mathematics Question 1. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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