To study the changes in boundary temperatures on a steel plate, lets assume that T1, 72. T3, T4 be temperatures at four interior points 1, 2, 3, 4. In each case, each Ti where k = 1, 2, 3, 4. is approximated by the average of the temperatures at the four closest points 20° 20° 1 0°% 40° 4 0° 40° Plate A 20° 20° a. Set up a system of linear equations involving T1, T2, T3, T4 and write it matrix form? b. Using echlon or reduced echlon form to find four temperatures T1, T2, T3, T 2 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Algebra

Q # 1:
To study the changes in boundary temperatures on a steel plate, lets assume that T1, T2, Ts, T4
be temperatures at four interior points 1, 2, 3, 4. In each case, each T* where k = 1, 2, 3, 4. is
approximated by the average of the temperatures at the four closest points
20° 20°
0°
40°
4
3
0°
40°
Plate A
20° 20°
a. Set up a system of linear equations involving 12. 13, 14 and write it matrix form?
T1, T2, T3, T. ?
b. Using echlon or reduced echlon form to find four temperatures
Transcribed Image Text:Q # 1: To study the changes in boundary temperatures on a steel plate, lets assume that T1, T2, Ts, T4 be temperatures at four interior points 1, 2, 3, 4. In each case, each T* where k = 1, 2, 3, 4. is approximated by the average of the temperatures at the four closest points 20° 20° 0° 40° 4 3 0° 40° Plate A 20° 20° a. Set up a system of linear equations involving 12. 13, 14 and write it matrix form? T1, T2, T3, T. ? b. Using echlon or reduced echlon form to find four temperatures
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