Let `A*B=A^(T)B^(-1)` where `A^(T)` represents transpose of matrix `A` and `B^(-1)` represents inverse of square matrix `B`. This operation is defined when the number of rows of `A` is equal to the number of rows of `B`. Matrix `A` is said to be orthogonal if `A^(-1)=A^(T)`
If `A*B` is defined then which of the following operations are always define?

Options

A. `(A*B)*A^(T)`
B. `(A*B)^(T)+A`
C. `(A*B)+A^(T)`
D. `A*B+B`

Answer

A, B, C, D

Explanation

NA