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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.4: The Lu Factorization

Problem 34EQ

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