Specifically need help on solving for the components of vector Ax(v) where the function Ax(v) returns the product A v, where A is the coefficient matrix and v is a vector.

19. T=0 T-100 The edges of the square plate are kept at the temperatures shown. Assuming steady-state heat conduction, the differential equation governing the tempera ture Tin the interior is If this equation is approximated by finite differences using the mesh shown, we obtain the following algebraic equations for temperatures at the mesh points: 4 1 0 1 0 0 0 0 011T, 1 -41 01 0 0 0 012 0-4 0 0 1 00 0T 00_4 1 0 1 0 011T, 0 0 100 0 01-41010|ITSI= 0 0 1 0-4 0 01T 0 0 00 0 1 01T 0 0 0 0 0-4 1T 0 0 0 0 0 1 0-4T Solve these equations with the conjugate gradient method. 100 200 200 300