Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

For what value of k, the matrix A = \(\left[\matrix{k+5&6\\-1&k}\right]\) will be singular?

Options:

-2

-3

Both -2 and -3

Neither -2 nor -3

Correct Answer:

Both -2 and -3

Explanation:

\( { k }^{ 2 } +5k+6 =0\)

k2 + 2k + 3k + 6 = 0

(k2 + 2k) + (3k + 6) = 0

k(k+2) + 3(k+2) = 0

(k+2) (k+3) = 0

k+2 = 0 or k+3 = 0

k = -2 or k = -3