Solve the following system of equations by Crout's Method 2х — 4y + z %3 4, бх + 2у — z % 10, -2x + 6y – 2z = -6 -4 2 1 1 4 2 -1 10 -2 -2. [9-1 [11 Step 1: A = LU = |l21 l22 [1 U12 U13 1 U23 131 132 l33 Lo Step 2: [41 121 l21u12 + l22 [131 31412 + l32 l31u13 + l32U23 + l33] 11412 l11413 l21413 + l22u23 -4 1 2 -1 -2 6. -21

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
icon
Concept explainers
Topic Video
Question

Find x, y, z

 

Example
Solve the following system of equations by Crout's Method
2x – 4y + z = 4,
6x + 2y – z = 10,
-2x + 6y – 2z = -6
1
%3|
-4
4
6.
2
-1
10
[-2
6.
-2.
[9-
[41
Step 1: A = LU = l21 l22
[131
JETI
[1
И12 и13
1
U23
1
l32 l33] Lo
Step 2:
[41
121 l21u12 + l22
[131 131412 + l32 l31413 + l32u23 + l33]
l11412
l11u13
l21u13 + l22u23
-4
11
6.
2
-1 =
-2
6.
-2]
Transcribed Image Text:Example Solve the following system of equations by Crout's Method 2x – 4y + z = 4, 6x + 2y – z = 10, -2x + 6y – 2z = -6 1 %3| -4 4 6. 2 -1 10 [-2 6. -2. [9- [41 Step 1: A = LU = l21 l22 [131 JETI [1 И12 и13 1 U23 1 l32 l33] Lo Step 2: [41 121 l21u12 + l22 [131 131412 + l32 l31413 + l32u23 + l33] l11412 l11u13 l21u13 + l22u23 -4 11 6. 2 -1 = -2 6. -2]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Angles, Arcs, and Chords and Tangents
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
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,