| Title: | Mathematics at DEC |
| Moderator: | RUSURE::EDP |
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
Problem:
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A is an nxn invertible matrice
prove
(the transpose of A)**-1 = (the inverse of A)**transpose
hint:
Use the definition of transpose and definition of inverse and
the fact that
(the transpose of B)(the transpose of A)=((A*B)transpose)
| T.R | Title | User | Personal Name | Date | Lines |
|---|---|---|---|---|---|
| 1124.1 | Trivial | HPSTEK::XIA | In my beginning is my end. | Tue Sep 19 1989 11:12 | 7 |
T -1 T -1 T -1 T T
(A ) A = I = (A A) = (A ) A
T -1 -1 T
==> (A ) = (A ) since A is nonsingular.
Eugene
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