Neco 2019 Further Mathematics Question 34

Practice objective / multiple choice question 34 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 34 NECO • 2019 • FURTHER_MATHEMATICS • objective

Let \(A=\begin{pmatrix}k&2&-1\\3&k&4\\5&-2&k\end{pmatrix}.\) (i) Find all real values of \(k\) for which \(A\) is singular. (ii) For \(k=1\), compute the element in the first row, second column of \(A^{-1}\).

A. Singular when \(k\approx-1.00\); for \(k=1\), \((A^{-1})_{12}=2\)

B. Singular when \(k\approx-3.00\); for \(k=1\), \((A^{-1})_{12}=1\)

C. Singular when \(k\approx-2.50\); for \(k=1\), \((A^{-1})_{12}=-1\)

Correct Answer D. Singular when \(k\approx-2.94\); for \(k=1\), \((A^{-1})_{12}=0\)

Correct Answer

Correct Option:

Singular when \(k\approx-2.94\); for \(k=1\), \((A^{-1})_{12}=0\)

This is Neco 2019 Further Mathematics Question 34. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Medium .

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