The diagram below represents heat transfer in a metal plate. The temperature at a node is the average of the temperature of the 4 nodes adjacent to it. Which of the following is the augmented matrix of an SLE that solves for the 4 unknown temperatures T1, T2, T3, T4? O O O O 20° 20° 30° T₁ T3 10° 4 4 0 -4 1440 [4 -1 1 -4 1 0 30° T₂ T₁ -4 -4 0 -1 04 0 -1 4 -4 1 10° 4 -1 1 -4 1 0 plate 0° 0° 2001 -1 0 501 01 -30 0 -4 1 -30 -1 −1 4 10 -120 -120 40 -4 0 2001 −1 0 4 120 -1 4 120 -4 1 40 -1 0 501 0 1 30 0 -4 1 30 -1 -1 4 10
The diagram below represents heat transfer in a metal plate. The temperature at a node is the average of the temperature of the 4 nodes adjacent to it. Which of the following is the augmented matrix of an SLE that solves for the 4 unknown temperatures T1, T2, T3, T4? O O O O 20° 20° 30° T₁ T3 10° 4 4 0 -4 1440 [4 -1 1 -4 1 0 30° T₂ T₁ -4 -4 0 -1 04 0 -1 4 -4 1 10° 4 -1 1 -4 1 0 plate 0° 0° 2001 -1 0 501 01 -30 0 -4 1 -30 -1 −1 4 10 -120 -120 40 -4 0 2001 −1 0 4 120 -1 4 120 -4 1 40 -1 0 501 0 1 30 0 -4 1 30 -1 -1 4 10
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Transcribed Image Text:The diagram below represents heat transfer in a metal plate. The temperature at
a node is the average of the temperature of the 4 nodes adjacent to it.
Which of the following is the augmented matrix of an SLE that solves for the 4
unknown temperatures T1, T2, T3, T4?
O
20°
20°
30°
T1
T3
10°
4 -1
4
[1
4
4
4
1
1
0
30°
T2
T4
[4 -1 -1
1
-4
1
-4
10°
-1
-4
-4 0
0 -4
0
−1 -1
plate
4 -120
−1 4 -120
-4 1
40
-1
0114
0 1
0°
0 -4
−1 -1 4
0°
2001
-4 -4 0 2001
-1
0 4 120
0 -1 4 120
-4 1 40
501
-30
-30
10
50
30
30
10
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