The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate. The steady-state temperature at an interior junction is approximately equal to the mean of the temperatures at the four surrounding junctions. Use a system of linear equations to approximate the interior temperatures T1, T2, T3, and T4. (T1, T2, T3, T4) = °C 20 50 20

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.1: Introduction To Systems Of Linear Equations
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The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate. The steady-state temperature at an interior junction is approximately equal to the mean of the
temperatures at the four surrounding junctions. Use a system of linear equations to approximate the interior temperatures T1, T2, T3, and T4.
(T1, T2, T3, T4) =
°C
60°
60°
20°
500
(20
50
Transcribed Image Text:The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate. The steady-state temperature at an interior junction is approximately equal to the mean of the temperatures at the four surrounding junctions. Use a system of linear equations to approximate the interior temperatures T1, T2, T3, and T4. (T1, T2, T3, T4) = °C 60° 60° 20° 500 (20 50
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