The following matrix 0.2 -3 2 1 10 2 1 1 -8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The following matrix
0.2
-3
1
10
2
1
-8
will not require pivoting when solved by Gauss elimination
is not diagonally dominant
will require pivoting when solved by Gauss elimination
is diagonally dominant
Transcribed Image Text:The following matrix 0.2 -3 1 10 2 1 -8 will not require pivoting when solved by Gauss elimination is not diagonally dominant will require pivoting when solved by Gauss elimination is diagonally dominant
Expert Solution
Step 1

In this question, concept of diagonally dominant is applied.

Diagonally Dominant

A matrix A is said to be diagonally dominant if

aij>j=1,ijnaij

with inequality satisfied for at least one row.

 

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