a) Find LU- and LDU-decomposition of the matrix 1 0 1 A = 2 2 5 3 4 5 .
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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Could you do part a of this problem? I'm not sure if I did the Lu and LDU-decompositions correctly?
![(a) Find LU- and LDU-decomposition of the matrix
1 0 1
A = 2 2 5
345
(b) Let
E₁
=
100]
-2 10
0
0 1
E2
=
1
0
-3
=
Compute Y E3E2E₁ and its inverse Y-1.
Compute Z= E₁ E2 E3 and its inverse Z-¹.
00
10
0 1
.
E3
=
[10
0
0
1
-4
0
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3414f6b8-acb6-4d57-a5de-a971cbe05261%2Fb59bbb3d-60ed-44b1-923b-0225fb42f49a%2Fq3k76ps_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Find LU- and LDU-decomposition of the matrix
1 0 1
A = 2 2 5
345
(b) Let
E₁
=
100]
-2 10
0
0 1
E2
=
1
0
-3
=
Compute Y E3E2E₁ and its inverse Y-1.
Compute Z= E₁ E2 E3 and its inverse Z-¹.
00
10
0 1
.
E3
=
[10
0
0
1
-4
0
1
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