Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Topic: Square of a lower triangular matrix
Replies: 2   Last Post: Apr 14, 2013 6:12 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 289
Registered: 5/23/11
Re: Square of a lower triangular matrix
Posted: Apr 14, 2013 5:36 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

15.4.2013 0:05, HardySpicer wrote:
> If I have a lower (say n square) triangular matrix T and I compute
> T^2 is there a proof which says that it too must be a lower triangular
> matrix with diagonal elements the square of the original?

Yes. A generalization: given A, B in R^{n x n} lower-triangular, then AB
is lower-triangular, with diag(AB) = diag(A) diag(B), where diag() sets
all off-diagonal elements zero.


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum 1994-2015. All Rights Reserved.