If a matrix A has inverse B and C, then which one of the following is correct?

If a matrix A has inverses B and C, then which one of the following is correct ?

If the matrix AB is a zero matrix, then which one of the following is correct ?

If the matrix AB is a zero matrix, then which one of the following is correct ?

If A is square matrix of order n gt 1, then which one of the following is correct ?

If A is a square matrix such that A-A^(T) = 0 , then which one of the following is correct ?

If A is a square matrix of order n gt 1 , then which one of the following is correct ?

If A is a square matrix of order 3 with |A|ne 0 , then which one of the following is correct ?

If A is a square matrix such that A-A^(T)=0 , then which one of the following is correct ?

If A = {a, b, c} and R = {(a, a), (a, b), (b, b), (c. c),(c. a)} is a binary relation on A, then which one of the following is correct?

If a matrix A is symmetric as well as anti-symmetric, then which one of the following is correct ?