3. The array below represents the temperatures (in degrees Fahrenheit) of certain points on the interior and boundary of a metal plate: 30 30 15 T, Т, 45 15 Тз Та 45 60 60 Assume that the temperature at each point is the average of the temperatures at the four neighboring points (left, right, above, and below). Set up (do not solve) a system of four linear equations whose solution gives the four temperatures T1, T2, T3, and T4. (Your linear equations should all be written in standard form, meaning a linear combination of the variables set equal to a constant.)
3. The array below represents the temperatures (in degrees Fahrenheit) of certain points on the interior and boundary of a metal plate: 30 30 15 T, Т, 45 15 Тз Та 45 60 60 Assume that the temperature at each point is the average of the temperatures at the four neighboring points (left, right, above, and below). Set up (do not solve) a system of four linear equations whose solution gives the four temperatures T1, T2, T3, and T4. (Your linear equations should all be written in standard form, meaning a linear combination of the variables set equal to a constant.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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interior and boundary of a metal plate:
The array below represents the temperatures (in degrees Fahrenheit) of certain points on the
30 30
15 T, Т, 45
15 Тз Та 45
60 60
Assume that the temperature at each point is the average of the temperatures at the four neighboring points
(left, right, above, and below).
Set up (do not solve) a system of four linear equations whose solution gives the four temperatures T1, T2,
T3, and T4. (Your linear equations should all be written in standard form, meaning a linear combination of
the variables set equal to a constant.)
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