Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

The value of k, for which is A = \(\begin{bmatrix}3 & 2k \\k^2 & 18 \end{bmatrix}\) singular matrix is

Options:

3

-3

both (a) and (b)

None of these

Correct Answer:

3

Explanation:

Finding the determinant and equating it to 0. \(2 { k }^{ 3 } - 54 = 0\) \(2 ({ k }^{ 3 } - 27) = 0\) \({ k }^{ 2 } - 27= 0\) \({ k }^{ 2 } = 27\) k = 3