All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Identity Satisfaction (Posted on 2014-08-05) Difficulty: 3 of 5
Each of A and B is a real nxn matrix with:
  • A+B = I (identity) and:
  • rank(A)+rank(B) = n
Does each of those identities always hold?
  1. A2 = A
  2. B2 = B
  3. AB = BA = 0
If so, prove it.
Otherwise, provide a counterexample.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSome Linear AlgebraBrian Smith2016-02-03 11:57:22
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information