3x + 2y + 7z = 4 2x + 3y + z = 5 3x + 4y + z = 7

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 80E
icon
Related questions
Question
100%
Find the lower triangular matrix of the coefficient matrix
3x + 2y + 7z = 4
2x + 3y + z = 5
3x + 4y + z = 7
1
0 01
L = 2/3
1 0
1
6/5 1
O
O
O
L=
1
-2/3
1
1
L = 3/2
1
1
L = 3/2
1
0 0
1 0
6/5 1
0 0
1 0
5/6 1
0 0
1 0
6/5 1
✩
Transcribed Image Text:Find the lower triangular matrix of the coefficient matrix 3x + 2y + 7z = 4 2x + 3y + z = 5 3x + 4y + z = 7 1 0 01 L = 2/3 1 0 1 6/5 1 O O O L= 1 -2/3 1 1 L = 3/2 1 1 L = 3/2 1 0 0 1 0 6/5 1 0 0 1 0 5/6 1 0 0 1 0 6/5 1 ✩
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning