Rationalised 2023-24
 MATHEMATICS
194
If A is not a non singular matrix, then it means the matrix A is singular, i e ,
|A| = 0
Then
A–1 =
A
adj|A|
 does not exist as |A| = 0
Hence, A is not invertible Thus, we have proved that if A is not a non singular matrix, then A is not invertible