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Kaba
Posts:
289
Registered:
5/23/11


Re: Square of a lower triangular matrix
Posted:
Apr 14, 2013 5:36 PM


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} lowertriangular, then AB is lowertriangular, with diag(AB) = diag(A) diag(B), where diag() sets all offdiagonal elements zero.
 http://kaba.hilvi.org



