The following statements (S1, S2, S3) pertain to the transpose of matrices.
S1 : The transpose of the transpose of a matrix coincides with itself.
S2 : The transpose in the case of a symmetric matrix, AT = A, and the transpose in the case of a skew symmetric matrix, AT = (-) A
S3 : The transpose of the product of two matrices A and B is equal to the product of their transposes [i.e, (A B)T = AT BT ]
Choose the correct statement(s).
1
S1 only
2
S2 and S3 only
3
S1 and S2 only
4
S1 and S3 only