Gce Model Questions Vol1 2021 Further Mathematics Question 13

Practice objective / multiple choice question 13 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 13 GCE_MODEL_QUESTIONS_VOL1 • 2021 • FURTHER_MATHEMATICS • objective

Consider the matrix \(B = \begin{pmatrix} 2 & -1 & 0 \\ k & 3 & 1 \\ 4 & 0 & k \end{pmatrix}.\)\n(a) Find all real values of \(k\) for which \(B\) is singular.\n(b) For \(k = 2\), compute the adjugate (classical adjoint) of \(B\).

Answer Options

Correct Answer A. Singular for k = -3 ± √13; adjugate at k=2 is [[6,2,-1],[0,4,-2],[-12,-4,8]]
B. Singular for k = -3 ± √13; adjugate at k=2 is [[6,2,-1],[0,4,-2],[-12,-4,7]]
C. Singular for k = -3 ± 2√13; adjugate at k=2 is [[6,2,-1],[0,4,-2],[-12,-4,8]]
D. Singular for k = -3 ± √12; adjugate at k=2 is [[6,2,-1],[0,4,-2],[-12,-4,8]]
Correct Answer
A
Correct Option:
Singular for k = -3 ± √13; adjugate at k=2 is [[6,2,-1],[0,4,-2],[-12,-4,8]]

About This Question

This is Gce Model Questions Vol1 2021 Further Mathematics Question 13. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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