3 1 2 Let A = 6 3 4 3 1 5 We know that A can be decomposed as A = LU where Lis lower triangular matrix and U is upper triangular matrix. The matrix A is decomposed as followings Г3 1 2 6 3 4 Г3 1 0 1 b23 Lo o b33. 1 2 a21 a22 0 3 1 A32 Fill in the blank in the below.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%

Please see attached image...

3 1 2
Let A =|6 3 4
3 1 5
We know that A can be decomposed as A = LU where L is lower triangular
matrix and U is upper triangular matrix. The matrix A is decomposed as followings
3 1 2
1
3 1
2
0 1 b23
[o 0 b33.
6 3 4
a21
a22
3
1
1
a32
Fill in the blank in the below.
A21 =
a22 =
a32
b23
b33
||
||
Transcribed Image Text:3 1 2 Let A =|6 3 4 3 1 5 We know that A can be decomposed as A = LU where L is lower triangular matrix and U is upper triangular matrix. The matrix A is decomposed as followings 3 1 2 1 3 1 2 0 1 b23 [o 0 b33. 6 3 4 a21 a22 3 1 1 a32 Fill in the blank in the below. A21 = a22 = a32 b23 b33 || ||
Expert Solution
Step 1

Given that

312634315=100a21a2201a32131201b2300e

To find the values of a21,a22, a32, b23, b33.

steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,