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a. If AER dxd satisfies A¡¡>0 for i=1,...,d, then A is invertible. dxd b. When A,BER are both strictly diagonally dominant, then their sum A+B is strictly diagonally dominant. C. When AER dxd is strictly diagonally dominant, then |A¡¡l>0 for i=1,...,d. d. When AER dxd is strictly diagonally dominant, then A is invertible.

a. If AER dxd satisfies A¡¡>0 for i=1,...,d, then A is invertible. dxd b. When A,BER are both strictly diagonally dominant, then their sum A+B is strictly diagonally dominant. C. When AER dxd is strictly diagonally dominant, then |A¡¡l>0 for i=1,...,d. d. When AER dxd is strictly diagonally dominant, then A is invertible.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 24E
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dxd a. If AER satisfies A¡¡>0 for i=1,...,d, then A is invertible. b. When A,BER dxd are both strictly diagonally dominant, then their sum A+B is strictly diagonally dominant. C. dxd When AER is strictly diagonally dominant, then |A¡¡l>0 for i=1,...,d. dxd d. When AER is strictly diagonally dominant, then A is invertible.
Transcribed Image Text:dxd a. If AER satisfies A¡¡>0 for i=1,...,d, then A is invertible. b. When A,BER dxd are both strictly diagonally dominant, then their sum A+B is strictly diagonally dominant. C. dxd When AER is strictly diagonally dominant, then |A¡¡l>0 for i=1,...,d. dxd d. When AER is strictly diagonally dominant, then A is invertible.
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