- #1
pyroknife
- 613
- 4
If A and B are similar matrices, show that A has an inverse IFF B is invertible.
A=P^-1 * B * P
Where P is an invertible matrix.
(A)^-1 = (P^-1 * B * P)^-1
A^-1 = P^-1 * B^-1 * P
Does this show what the question wanted?
A=P^-1 * B * P
Where P is an invertible matrix.
(A)^-1 = (P^-1 * B * P)^-1
A^-1 = P^-1 * B^-1 * P
Does this show what the question wanted?