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Consider the following statements : 1....

Consider the following statements :
1. If det A = 0, then det (adj A) = 0
2. If A is non-singular, the `det(A^(-1)) = (det A)^(-1)`

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
C
We know that, adj A and A has same value of determinant, if det A = 0, then det(adj A) = 0
So, statement (1) is correct.
Also If A is a matrix the determinant of `A^(-1)` equal inverse of determinant A, so `det(A^(-1))=(det A)^(-1)`, if A is non singular, Statement 2 is correct.
Thus both (1) and (2) are correct.
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