Gce Model Questions Vol1 2024 Further Mathematics Question 39

Practice objective / multiple choice question 39 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 39 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

Let \(A\) be a \(3\times3\) integer matrix satisfying \(A^{2}=0\) but \(A\neq0\). Determine the trace of \(A\) and the value of \(\det(I+2A)\).

Answer Options

Correct Answer A. trace \(A = 0\); \(\det(I+2A)=1\)
B. trace \(A = -1\); \(\det(I+2A)=0\)
C. trace \(A = 0\); \(\det(I+2A)=2\)
D. trace \(A = 1\); \(\det(I+2A)=1\)
Correct Answer
A
Correct Option:
trace \(A = 0\); \(\det(I+2A)=1\)

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 39. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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