Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

For what value of k, the matrix A = \(\left[\matrix{2&k\\k&3}\right]\) will be singular?

Options:

\(\sqrt { 6 }\)

-\(\sqrt { 6 }\)

Both \(\sqrt { 6 }\) and -\(\sqrt { 6 }\)

Neither \(\sqrt { 6 }\) nor -\(\sqrt { 6 }\)

Correct Answer:

Both \(\sqrt { 6 }\) and -\(\sqrt { 6 }\)

Explanation:

\( { k }^{ 2 } = 6\)