Neco 2017 Further Mathematics Question 33

Practice objective / multiple choice question 33 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 33 NECO • 2017 • FURTHER_MATHEMATICS • objective

Consider the matrix \(M = \begin{pmatrix} 1 & 2 & k \\ 2 & 5 & 3 \\ k & 3 & 9 \end{pmatrix}\). Find the value of \(k\) for which \(M\) is singular, determine the rank of \(M\) at that value, and give a basis for its column space.

Answer Options

Correct Answer A. rank = 2; basis = {(1,2,0), (2,5,3)}
B. rank = 2; basis = {(1,2,k), (2,5,3)}
C. rank = 1; basis = {(1,2,0)}
D. rank = 3; basis = {(1,2,0), (2,5,3), (k,3,9)}
Correct Answer
A
Correct Option:
rank = 2; basis = {(1,2,0), (2,5,3)}

About This Question

This is Neco 2017 Further Mathematics Question 33. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Hard .

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