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
More than one of the above
5
None of the above

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