is, by definition, the matrix, B, such that , the identity matrix. Show that this is true for and .
I have been asked to prove that the for a generic matrix A that, is the same as . I have no idea how to start this, any ideas would be much appreciated.
Pretty much the wording is prove that A cubed, then inversed is the same as A inversed then cubed.
Thank you very much, i know what to do. I'll do it just in case anyone else looks at this thread.
First
becomes
becomes
and and and
Combining these facts makes:
this becomes,
which becomes,
, after we do that a few times we get,
This also works for,
Please let me know if i did that right