2. (5 Points) Let V5 -V5 A = 0 - V5 Find ||A||F-

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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THIS QUESTION FROM NUMERICAL METHODS COURSE.

IF YOU CAN SOLV ALL ,PLEASE DO IT;BUT NOT OK NO PROBLEM NOW I NEED THE SECONED QUESTION.

THX

Numerical Methods/Analysis
Homework Assignment
Instructions:
1. (5 Points)Let
-k
VE
Find the Euclidean norm of r. Don't assume any specific value for k. So,
the answer must be in terms of k.
2. (5 Points) Let
V5 -V5
A =
-V5
Find ||A||F-
3. (10 Points) Find a rearrangement of the following system that guarantees
both te Jacobi iteration and the Gauss-Seidel iteration of this system will
converge to the unique solution of the system for any r(0):
Ti – 2x2 + 3x3 – 10x4 = 40.
10x1 – 2x2 + 3r3 + 4x4 = 10,
Tị – 10x2 + 3x3 – 4x4 = 20,
xi + 2x2 – 10r3 + 4x4 = 30.
Transcribed Image Text:Numerical Methods/Analysis Homework Assignment Instructions: 1. (5 Points)Let -k VE Find the Euclidean norm of r. Don't assume any specific value for k. So, the answer must be in terms of k. 2. (5 Points) Let V5 -V5 A = -V5 Find ||A||F- 3. (10 Points) Find a rearrangement of the following system that guarantees both te Jacobi iteration and the Gauss-Seidel iteration of this system will converge to the unique solution of the system for any r(0): Ti – 2x2 + 3x3 – 10x4 = 40. 10x1 – 2x2 + 3r3 + 4x4 = 10, Tị – 10x2 + 3x3 – 4x4 = 20, xi + 2x2 – 10r3 + 4x4 = 30.
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