Consider the following statements:
1. If A is a singular matrix, then adj(A) is non-singular.
2. If A is a square matrix such that A2 = A and B = I - A, then AB + BA + I - (I - A)2 is equal to A
3. If A and B are symmetric matrices and AB = BA, then A-1B is a symmetric matrix.
Which of the above statements is/are correct?
1
1 only
2
2 only
3
2 and 3 only
4
1 and 2 only