Consider the following statements:
1. If A1, A3,...,A2n-1 are n skew-symmetric matrices of same order, then \(B = \sum_{r=1}^{n}(2r-1)(A_{2r-1})^{2r-1}\) will be symmetric matrix.
2. If A is a 3 × 3 non-singular matrix such that AAT = ATA and B = A-1AT, then BBT = B-1.
Which of the above statements is/are correct?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2