(1) Find A = LU, where L is a unit lower trian- gular matrix and U is an upper triangular matrix (by type 3 row operations only, must). (2) Solve Ax = b by two-step substitutions. 2 1 0 1 -2 -2 2 -1 A = 2 b = 1 3 3 1 1 5 6 6.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter7: Systems Of Equations And Inequalities
Section7.6: Solving Systems With Gaussian Elimination
Problem 3SE: Is there only one correct method of using row operations on a matrix? Try to explain two different...
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(1) Find A = LU, where L is a unit lower trian-
gular matrix and U is an upper triangular matrix
(by type 3 row operations only, must). (2) Solve
Ax = b by two-step substitutions.
2
1 0
1
-2 -2 2 -1
A =
2
b =
1 3 3
1 1 5
6
6.
Transcribed Image Text:(1) Find A = LU, where L is a unit lower trian- gular matrix and U is an upper triangular matrix (by type 3 row operations only, must). (2) Solve Ax = b by two-step substitutions. 2 1 0 1 -2 -2 2 -1 A = 2 b = 1 3 3 1 1 5 6 6.
Expert Solution
Step 1: Given.

Given: A=2101-2-22-121336115 and b=0006.

To find: LU decomposition of given matrix and hence solve the system Ax=b

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