How to calculate matrix M*T=T

T=M*T

how can i calculate T_2, T3???

M =

    1.0000         0         0         0
    0.5000         0    0.5000         0
         0    0.5000         0    0.5000
         0         0         0    1.0000

 
T =
 
 500
  T2
  T3
 300
 
 B=M*T
 B==T
 
B =
 
        500
 T3/2 + 250
 T2/2 + 150
        300
 
 
ans =
 
       500 == 500
 T3/2 + 250 == T2
 T2/2 + 150 == T3
       300 == 300

Answer 1

[Stephan]

syms T2 T3

M = [1., 0, 0, 0;...
    0.5, 0, 0.5, 0;...
    0, 0.5, 0, 0.5;...
    0 0 0 1.]
T = [500; T2; T3; 300]

B = M*T
sol = solve(B == T)
sol_T2 = sol.T2
sol_T3 = sol.T3

result:

M =

    1.0000         0         0         0
    0.5000         0    0.5000         0
         0    0.5000         0    0.5000
         0         0         0    1.0000

 
T =
 
 500
  T2
  T3
 300
 
 
B =
 
        500
 T3/2 + 250
 T2/2 + 150
        300
 

sol = 

  struct with fields:

    T2: [1×1 sym]
    T3: [1×1 sym]

 
sol_T2 =
 
1300/3
 
 
sol_T3 =
 
1100/3