Gce Model Questions Vol1 2023 Further Mathematics Question 39

Practice objective / multiple choice question 39 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 39 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

Let \(A=\begin{pmatrix}2&k&1\\0&3&-1\\k&4&2\end{pmatrix}\). (i) Find all values of \(k\) for which \(A\) is singular. (ii) For each such value of \(k\), state the rank of \(A\).

Answer Options

Correct Answer A. Singular when k=4 or k=-5; rank 2 in both cases.
B. Singular when k=4 or k=5; rank 2 in both cases.
C. Singular when k=2 or k=-5; rank 2 in both cases.
D. Singular when k=4 or k=-5; rank 1 in both cases.
Correct Answer
A
Correct Option:
Singular when k=4 or k=-5; rank 2 in both cases.

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 39. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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