A thin square metal plate has a uniform temperature of 80°C on two opposite edges, a temperature of 120°C on the third edge, and a temperature of 60°C on the remaining edge. A mathematical procedure to approximate the temperature at six uniformly spaced interior points results in the following equations:¹3 13 4T₁-T₂-T6 = 200 -T₁+ 4T₂-T3-T5 = 80 -T₂ + 4T3-T4 = 140 -T3 + 4T4 T5 = 140 -T₂-T4 + 4T5-T6 = 80 -T₁-T5 + 4T6 = 200 What is the value of T1, T2, T3, T4, T5 and T6?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question

Give the Matlab code of the linear algebra given:

A thin square metal plate has a uniform temperature of 80°C on two opposite edges, a
temperature of 120°℃ on the third edge, and a temperature of 60°C on the remaining
edge. A mathematical procedure to approximate the temperature at six uniformly
spaced interior points results in the following equations:13
=
4T₁-T₂-T6 = 200
-T₁ + 4T₂-T3-T5 = 80
-T₂ + 4T3-T4 = 140
-T3 + 4T4 T5 = 140
-T₂-T4+ 4T5-T6 = 80
-T₁-T5+ 4T6 = 200
What is the value of T1, T2, T3, T4, T5 and T6?
Transcribed Image Text:A thin square metal plate has a uniform temperature of 80°C on two opposite edges, a temperature of 120°℃ on the third edge, and a temperature of 60°C on the remaining edge. A mathematical procedure to approximate the temperature at six uniformly spaced interior points results in the following equations:13 = 4T₁-T₂-T6 = 200 -T₁ + 4T₂-T3-T5 = 80 -T₂ + 4T3-T4 = 140 -T3 + 4T4 T5 = 140 -T₂-T4+ 4T5-T6 = 80 -T₁-T5+ 4T6 = 200 What is the value of T1, T2, T3, T4, T5 and T6?
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education