Question

Solve this matrix problem . Here the inverse of Matrix won't exist for what value of k.

Answer 1

When the determinant for a square matrix is equal to zero, the inverse for that matrix does not exist.

So,
det (A) = 0 (1)
But determinant of A is :
det (A) = (4 x k) - (3 x 2)
Now , by (1) ,
(4 x k) - (3 x 2) = 0
4k - 6 = 0
4k = 6
k = 6/4
k = 3/2

Answer 2

Hi...☺

Here is your answer...✌
=================================

Inverse of matrix doesn't not exist

=> |A| = 0

(k×4) - (2×3) = 0

4k-6 = 0

k = 6/4

k = 3/2