Matrix A=(a)nxn is called strictly diagonally dominant, if "1 |a₁|> Σ |aj|, Σ |aj|, i=1,2,...,n. j=1, jzi Show that A is nonsingular.

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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Matrix A=(a)nxn is called strictly diagonally dominant, if
"1
|a₁|> Σ |aj|,
Σ |aj|, i=1,2,...,n.
j=1, jzi
Show that A is nonsingular.
Transcribed Image Text:Matrix A=(a)nxn is called strictly diagonally dominant, if "1 |a₁|> Σ |aj|, Σ |aj|, i=1,2,...,n. j=1, jzi Show that A is nonsingular.
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