-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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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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).
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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