Question

Consider the following in respect of a
non-singular matrix of order 3 :
1.
A (adj A) = (adj A) A
2.
| adj A| = |A|
Which of the above statements is/are correct?​

Answer 1

the correct statement is 2nd one

Answer 2

Answer:

Explanation:

1 only

2 only

Both 1 and 2

Neither 1 nor 2

Answer :

C

Solution :

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)=(detA)-1, if A is non singular, Statement 2 is correct.

Thus both (1) and (2) are correct.

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