Gce Model Questions Vol1 2017 Further Mathematics Question 33

Practice objective / multiple choice question 33 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 33 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

Let \(A\) be the matrix \(\begin{pmatrix}1&2&3\\4&5&6\\7&8&k\end{pmatrix}\). The linear system \(A\mathbf{x}=\begin{pmatrix}1\\0\\0\end{pmatrix}\) has a unique solution whose first component equals 1. Determine the value of \(k\) and then compute \(\det A\).

Answer Options

A. k = 75/8, det(A) = 9/8
B. k = 15/4, det(A) = -9/8
C. k = 9/8, det(A) = -75/8
Correct Answer D. k = 75/8, det(A) = -9/8
Correct Answer
D
Correct Option:
k = 75/8, det(A) = -9/8

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 33. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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