CUET Preparation Today
CUET
-- Mathematics - Section B1
Matrices
For which value of k, inverse does not exist for the matrix $\begin{bmatrix}1 & 2\\k & 6 \end{bmatrix}$ :
0
3
6
2
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
$|A|=0⇒k=3$