matrices obtained from A by applying two sequences and F₁,..., Fa, so that U = Ep E₁A and V ..

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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19. Let A be any m × n matrix. If U and V are two reduced row echelon
matrices obtained from A by applying two sequences of elementary row operations E₁,..., Ep
and F₁,..., Fa, so that
U = Ep
E₁A and V=F₁ F₁A,
F₁. In other words, the reduced row echelon form of any
then UV and Ep
matrix is unique.
.…..
E₁ = F₁
Transcribed Image Text:19. Let A be any m × n matrix. If U and V are two reduced row echelon matrices obtained from A by applying two sequences of elementary row operations E₁,..., Ep and F₁,..., Fa, so that U = Ep E₁A and V=F₁ F₁A, F₁. In other words, the reduced row echelon form of any then UV and Ep matrix is unique. .….. E₁ = F₁
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