Solve the equation Ax=b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. 4 -7 -4 0 -4 -1 0 0-1 A = y = 4 -7 -4 3 8-2-6 X = -4 3 = 1 - 1 00 10 Let Ly = b and Ux=y. Solve for x and y. 2 -3 1 Row reduce the augmented matrix [A b] and use it to find x. The reduced echelon form of [A b] is yielding x = b= 1 - 15 50
Solve the equation Ax=b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. 4 -7 -4 0 -4 -1 0 0-1 A = y = 4 -7 -4 3 8-2-6 X = -4 3 = 1 - 1 00 10 Let Ly = b and Ux=y. Solve for x and y. 2 -3 1 Row reduce the augmented matrix [A b] and use it to find x. The reduced echelon form of [A b] is yielding x = b= 1 - 15 50
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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![Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction.
y
4 -7 -4
3 3
8 -2 -6
A = - 4
X =
-
Let Ly = b and Ux=y. Solve for x and y.
1
00
1
10
2 - 3 1
4 -7 -4
0 -4 -1
0
0 - 1
Row reduce the augmented matrix [A b] and use it to find x.
The reduced echelon form of [A b] is
yielding x =
b=
1
15
50](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b986f27-9bc3-427d-aa8d-82faf2364ac6%2F2074f806-86c7-47d3-a304-70a6ba31661b%2Ffbk53o4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction.
y
4 -7 -4
3 3
8 -2 -6
A = - 4
X =
-
Let Ly = b and Ux=y. Solve for x and y.
1
00
1
10
2 - 3 1
4 -7 -4
0 -4 -1
0
0 - 1
Row reduce the augmented matrix [A b] and use it to find x.
The reduced echelon form of [A b] is
yielding x =
b=
1
15
50
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