# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Tue, 21 May 2013 05:02:38 UTC

 All times are UTC [ DST ]

 Page 1 of 1 [ 6 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: Matrix identity proofPosted: Sat, 23 Oct 2010 19:58:58 UTC

Joined: Sat, 23 Oct 2010 19:53:28 UTC
Posts: 5
Hi all,
Searle (1982) poses the following problem:
Assuming the stated Inverses exist, prove the following Identity:

Does anybody know the solution or could give me a hint?

Many thanks, Alex

----------
Searle (1982), Matrix Algebra useful for Statistics

Top

 Post subject: Re: Matrix identity proofPosted: Sat, 23 Oct 2010 20:21:05 UTC
 Moderator

Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6007
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
cogsci33 wrote:
Hi all,
Searle (1982) poses the following problem:
Assuming the stated Inverses exist, prove the following Identity:

Does anybody know the solution or could give me a hint?

Many thanks, Alex

----------
Searle (1982), Matrix Algebra useful for Statistics

One-liner:

Group, and rearrange.

_________________

Top

 Post subject: Posted: Sat, 23 Oct 2010 20:37:46 UTC

Joined: Sat, 23 Oct 2010 19:53:28 UTC
Posts: 5
Thank you for the quick reply. Sorry but I fail to appreciate your logic. I would appreciate if you could explain a bit more. It worked btw. Thank you a lot!
Thank you

Last edited by cogsci33 on Tue, 15 Mar 2011 21:34:43 UTC, edited 1 time in total.

Top

 Post subject: Posted: Sat, 23 Oct 2010 20:40:52 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12098
Location: Austin, TX
cogsci33 wrote:
Thank you for the quick reply. Sorry but I fail to appreciate your logic. I would appreciate if you could explain a bit more.
Thank you

There's no logic involved, he just wrote down a formula. Work out the formula.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Post subject: Re: Matrix identity proofPosted: Sun, 24 Oct 2010 14:45:29 UTC
 S.O.S. Oldtimer

Joined: Fri, 10 Oct 2008 15:35:23 UTC
Posts: 179
Location: Clarksville, ARkansas
outermeasure wrote:
cogsci33 wrote:
Hi all,
Searle (1982) poses the following problem:
Assuming the stated Inverses exist, prove the following Identity:

Does anybody know the solution or could give me a hint?

Many thanks, Alex

----------
Searle (1982), Matrix Algebra useful for Statistics

One-liner:

Group, and rearrange.

Hi Alex (cogsci33).

You asked for a hint (or a solution) and outermeasure gave you a hint that is so good that it is essentially a solution. Don't dismiss it lightly.

related to the identity I'm trying to prove?" ... repeat until you have answered the question.

Now, examine

and notice that it's equivalent to the previous expression.

Factor from and simplify. Do similarly for the next two terms.

Now, can you see (after a little bit of rearranging) that outermeasure has given you exactly what you need to prove your identity?

Top

 Post subject: Hello..Posted: Tue, 26 Oct 2010 10:42:42 UTC
 S.O.S. Newbie

Joined: Tue, 26 Oct 2010 10:30:33 UTC
Posts: 1
Good information..thank you.

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 6 posts ]

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: No registered users

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous