SOLUTION: Please help me suppose {{{A }}},{{{ B }}}and {{{AB - I }}}are non-degenerate and have same order. prove that (1){{{ A - B^-1 }}}is non-degenerate. (2) {{{(A - B^-1)^-1 - A^

Algebra ->  Linear-equations -> SOLUTION: Please help me suppose {{{A }}},{{{ B }}}and {{{AB - I }}}are non-degenerate and have same order. prove that (1){{{ A - B^-1 }}}is non-degenerate. (2) {{{(A - B^-1)^-1 - A^      Log On


   



Question 1102577: Please help me
suppose A+,+B+and AB+-+I+are non-degenerate and have same order.
prove that
(1)+A+-+B%5E-1+is non-degenerate.
(2) %28A+-+B%5E-1%29%5E-1+-+A%5E-1 is non-degenerate

Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
.
This problem was posted to the forum one or two months ago.

I solved the part (1) at this link

https://www.algebra.com/algebra/homework/Matrices-and-determiminant/Matrices-and-determiminant.faq.question.1099395.html

https://www.algebra.com/algebra/homework/Matrices-and-determiminant/Matrices-and-determiminant.faq.question.1099395.html


WHAT IS THE REASON TO POST IT AGAIN AND AGAIN ? ? ?