Gce Model Questions Vol1 2019 Further Mathematics Question 20

Practice objective / multiple choice question 20 from the 2019 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2019 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 20 GCE_MODEL_QUESTIONS_VOL1 • 2019 • FURTHER_MATHEMATICS • objective

Let \(M=\begin{pmatrix}1&2&3\\0&k&1\\4&5&6\end{pmatrix}\). Find the value of the parameter \(k\) for which the \((2,2)\) entry of the inverse matrix \(M^{-1}\) equals \(\frac13\). Then give the determinant of \(M\) for that value of \(k\).

Answer Options

A. k = 7/2, determinant = -20
B. k = 5/2, determinant = -18
Correct Answer C. k = 7/2, determinant = -18
D. k = 3/2, determinant = -12
Correct Answer
C
Correct Option:
k = 7/2, determinant = -18

About This Question

This is Gce Model Questions Vol1 2019 Further Mathematics Question 20. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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