A and B are n x n orthogonal matricies...show that
A(A^t+B^t)B=A+B
Where A^t and B^t are the transposes of A and B
Here is my working:
LHS= A(A^t+B^t)B
= (A*A^t+A*B^t)B
= (I+A*B^t)B
= IB+A*B^t*B
= B+A*I
= A+B
I know I have solved it correct and all..i jsut need some solid comfirmation..thats all thanks.