LU Decompisition Given that A is transformed into U by the elementary row operations below, complete E₁¹ and ¹.618 -18-7 -3-11E12 -14 -11A =E₁¹=1Ex: 421-2R₁+R3 R316-7 -318 -18 -1100 -51E₂¹=1-3R₁+R₂ R₂16 -73 -20 -51= U=

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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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Question

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LU Decompisition

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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LU Decompisition

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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