Hey, i am having with this question. Would appreciate any help:

A and B are matrices, with (I-AB) an invertible matrix.

Show that the inverse of (I-BA) = I+BCA

Where C is the inverse of (I-AB)

Printable View

- Jun 13th 2009, 02:37 AMprofmqInvertible matrices proofs
Hey, i am having with this question. Would appreciate any help:

A and B are matrices, with (I-AB) an invertible matrix.

**Show that the inverse of (I-BA) = I+BCA**

Where C is the inverse of (I-AB) - Jun 13th 2009, 03:36 AMAMI

.

.

. - Jun 13th 2009, 04:40 AMprofmq
- Jun 13th 2009, 10:44 PMIsomorphism
Just for additional information: It is a simple application of the more general Woodbury formula. Trying to prove that identity is fun :D