Let E and F be the elementary matrices obtained by doing R¡ → R¡ + kR¡ and Rụ → R¡ + K/K respectively (i ‡ j and i' ‡j). Show that EF = FE.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 33E
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Let E and F be the elementary matrices obtained by doing R¡ → R¡ + kR¡ and R¿ → R¿ + K/R;
respectively (i j and i' ‡ j). Show that EF = FE.
Transcribed Image Text:Let E and F be the elementary matrices obtained by doing R¡ → R¡ + kR¡ and R¿ → R¿ + K/R; respectively (i j and i' ‡ j). Show that EF = FE.
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