3. 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...

Extracted text: 3. 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.)