Hi this is a math Linear Algebra question. Please show step by step process and show final answer also.

This is the question.

An important concern in the study of heat transfer is to determine the steady-state temperature distribution of a thin plate when the temperature around the boundary is known. The gure represents a cross section of a metal beam, with negligible heat flow in the direction perpendicular to the plate. Let T1, T4 denote the temperatures at the four interior nodes of the gure. The temperature at a node is approximately equal to the average of the four nearest nodesto the left, above, to the right, and below. Solve the system of equations below to nd the temperatures T1, T4. 4T1' T2 - T4=30 'T1+4T2- T3 =70 _ Tz+4T3 T4=ao T1 T3+4Td=4o O A- The unique solution of the system is , , , . (Type integers or decimals rounded to the nearest thousandth as needed.) O B. The system has innitely many solutions. 0 C. The system has no solution