Given that A is transformed into U by the elementary row operations below, complete E¹ and E¹. A = E₁¹ = 6 18 -18 12 -7 -3 -11 -14 -11 1 Ex: 42 1 -2R₁+R3 R3 1 6 -7 -3 18 -18 -11 0 0 -5 1 E₂¹: Ez = 1 -3R₁+R₂ R₂ 6 -7 -3 0 3 -2 0 -5 CH 1 1 = U
Given that A is transformed into U by the elementary row operations below, complete E¹ and E¹. A = E₁¹ = 6 18 -18 12 -7 -3 -11 -14 -11 1 Ex: 42 1 -2R₁+R3 R3 1 6 -7 -3 18 -18 -11 0 0 -5 1 E₂¹: Ez = 1 -3R₁+R₂ R₂ 6 -7 -3 0 3 -2 0 -5 CH 1 1 = U
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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LU Decompisition
Transcribed Image Text:Given that A is transformed into U by the elementary row operations below, complete E₁¹ and ¹.
6
18 -18
-7 -3
-11
E
12 -14 -11
A =
E₁¹
=
1
Ex: 42
1
-2R₁+R3 R3
1
6
-7 -3
18 -18 -11
0
0 -5
1
E₂¹
=
1
-3R₁+R₂ R₂
1
6 -7
3 -2
0 -5
1
= U
=
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Follow-up Question
LU Decompisition
Transcribed Image Text:Jump to level 1
Given that A is transformed into U by the elementary row operations below, find L.
A
L=
5
-10
-15
Ex: 42
-3
7
8 -16
9 -15
3R₁+R₂ R3
5
-3
-10 8
0
0
7
-16
6
2R₁+R₂ R₂
5
0
0
-3
2
0
7
-2
6
= U
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