Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

For which value of k, inverse does not exist for the matrix $\begin{bmatrix}1 & 2\\k & 6 \end{bmatrix}$ :

Options:

0

3

6

2

Correct Answer:

3

Explanation:

The correct answer is Option (2) → 3

$\begin{bmatrix}1 & 2\\k & 6 \end{bmatrix}=A$

$|A|=6-2k$

for $A^{-1}$ to not exist

$|A|=0⇒k=3$