If A = \(\left(\begin{array}{ccc}1 & 0 & 0 \\ 0 & \cos \theta & \sin \theta \\ 0 & \sin \theta & −\cos \theta\end{array}\right)\), then which of the following are correct?
1. A + adj A is a null matrix
2. A−1 + adj A is a null matrix
3. A − A−1 is a null matrix
Select the correct answer using the code given below :
1
1 and 2 only
2
2 and 3 only
3
1 and 3 only
4
1, 2 and 3