Tuesday, 7 October 2014

linear algebra - How to prove that to reduce B to echelon form no row interchanges are needed?

Suppose that to reduce a matrix A to row echelon form are necessary n elementary operations E1,...,En. Suppose that En1,...,Enk are the permutation operations that are needed. How to prove that to reduce B=EnkEn1A to echelon form no row interchanges are needed?



(my linear algebra book says it, but doesn't demonstrate)




Thanks.

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...