Find the LU factorization of -3 A = -15 -6 such that the main diagonal of \left[ -4 3 -21 16 -10 10 A = LU = 100 5 10 2 21 \right]$ has all ones and use it to solve the system -3 -4 3 x1 -15 -21 16 18- X2 -6 -10 10 X3 00 100 000 000 4-8 -19 -97 -38
Find the LU factorization of -3 A = -15 -6 such that the main diagonal of \left[ -4 3 -21 16 -10 10 A = LU = 100 5 10 2 21 \right]$ has all ones and use it to solve the system -3 -4 3 x1 -15 -21 16 18- X2 -6 -10 10 X3 00 100 000 000 4-8 -19 -97 -38
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 12E
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Question
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![Find the LU factorization of
-3
A = -15
-6
such that the main diagonal of \left[
-4 3
-21 16
-10 10
100
510
2 21
\right]$ has all ones and use it to solve the system
-3 -4
3
x1
-15
18-
X2 =
-6 -10 10
X3
00
00
000 000
4-8
-21 16
A = LU =
-19
-97
-38](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cb8b695-ab02-4ee2-94ee-3246bb4f875f%2F8bb32bb0-0ccf-4a98-b74a-6f42da97e647%2Fqpyown_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the LU factorization of
-3
A = -15
-6
such that the main diagonal of \left[
-4 3
-21 16
-10 10
100
510
2 21
\right]$ has all ones and use it to solve the system
-3 -4
3
x1
-15
18-
X2 =
-6 -10 10
X3
00
00
000 000
4-8
-21 16
A = LU =
-19
-97
-38
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