## Proof:Show that BAB^-1 is invertible

Linear spaces and subspaces, linear transformations, bases, etc.
bbsa3412
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### Proof:Show that BAB^-1 is invertible

Let A and B be any invertible matrix. Show that the matrix BAB^-1 is invertible. What is its inverse?

Martingale
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### Re: Proof:Show that BAB^-1 is invertible

bbsa3412 wrote:Let A and B be any invertible matrix. Show that the matrix $BAB^{-1}$ is invertible. What is its inverse?

you want a matrix $D$ such that $BAB^{-1}D=I$

How can you get rid of the $B,A$ and $B^{-1}$ on the left of this equation?