-21 -4 1 71 A = [4 6 -3 B = 2 C = -8 6 D = 3] 4 A Evaluate (E] where [E] = [A]x [8] 12.5 % B. Find det E (10 %) C. Find (F) where (F] = 16] + [C) 5 %) D. What special type of Matrix is [F]? (2.5 %) 1.
-21 -4 1 71 A = [4 6 -3 B = 2 C = -8 6 D = 3] 4 A Evaluate (E] where [E] = [A]x [8] 12.5 % B. Find det E (10 %) C. Find (F) where (F] = 16] + [C) 5 %) D. What special type of Matrix is [F]? (2.5 %) 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1.
1
-2
-3
B =
/A
-4
71
C =
Isym.
A =
6
-8 6
D = {21
3
[1
2
3]
4
A. Evaluate [E] where [E] = [A]x [B] (12.5 %
B. Find det E (10 %)
C. Find [F] where (F] = [E] + [C] [S X)
D. What special type of Matrix is [F?25
2.
2x + 2y + 5z = 15
x- 5y + z = -6
10x – y + 2z = 30
A. Solve the system of linear equations using GAUSS-SEIDEL Method.
1. Use xo = yo = zg = 0 and use e = 0.01
il. Compute for the absolute error of x, y, and z, accurate up to 5 decimal places, starting at
iteration. Show the values of x, y and z from the first iteration as fraction or accurate up to
decimal places. You can check for a benchmark answer using your calc's MODE-5-2 (EQ
i. Use the absolute error as the stopping criterion OR 5 iterations – whichever comes first.
iv. State oll assumptions and considerations made (e.g. diagonal dominance. In case of non-
convergence, check your solution).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff442a3d2-bce1-4ed9-82fa-eafc88316549%2F7940e23b-b85e-4fae-8132-1239ca586e03%2Fwss4xy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
1
-2
-3
B =
/A
-4
71
C =
Isym.
A =
6
-8 6
D = {21
3
[1
2
3]
4
A. Evaluate [E] where [E] = [A]x [B] (12.5 %
B. Find det E (10 %)
C. Find [F] where (F] = [E] + [C] [S X)
D. What special type of Matrix is [F?25
2.
2x + 2y + 5z = 15
x- 5y + z = -6
10x – y + 2z = 30
A. Solve the system of linear equations using GAUSS-SEIDEL Method.
1. Use xo = yo = zg = 0 and use e = 0.01
il. Compute for the absolute error of x, y, and z, accurate up to 5 decimal places, starting at
iteration. Show the values of x, y and z from the first iteration as fraction or accurate up to
decimal places. You can check for a benchmark answer using your calc's MODE-5-2 (EQ
i. Use the absolute error as the stopping criterion OR 5 iterations – whichever comes first.
iv. State oll assumptions and considerations made (e.g. diagonal dominance. In case of non-
convergence, check your solution).
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