- #1
- 613
- 3
the matrices A and B are
invertible symmetric matrices and AB = BA.
Show that A*B^-1 is symmetric
(A*B^-1)^T
=A^T * (B^-1)^T
=A^T * (B^T)^-1
Since A and B are symmetric
=A*B^-1
Is this right? Is (B^-1)^T = (B^T)^-1?
invertible symmetric matrices and AB = BA.
Show that A*B^-1 is symmetric
(A*B^-1)^T
=A^T * (B^-1)^T
=A^T * (B^T)^-1
Since A and B are symmetric
=A*B^-1
Is this right? Is (B^-1)^T = (B^T)^-1?