How do I solve system of equations?

Question

Musa Kasim AGCA 2020-2-29

评论： darova 2020-2-29

eqn1 = a*H - 790*a*P1 + 1590*b*P1 - 2380*E == 0;

eqn2 = b*H - 793*a*P1 + 1593*b*P1 - 2386*E == 0;

a and b are the unknowns that I try to find.

H and P1 are 64*64 matrices.

E is the row vector 1*64.

E, H, and P1 are known.

How should I construct the solution ?

darova 2020-2-29

Can you explain more? What those matrices represent? TO find 2 variable you only need 2 equations but you have 128

Answer 1

Are Mjaavatten 2020-2-29

If I understand you correctly, your system consist of 128 eqations. a and b are arrays of 64 unknowns each. You must then solve the system:

In Matlab:

x =  [H-790*P1,1590*P1;-793*P1,H+1593*P1]\[2380*E;2386*E];
a = x(1:64);
b = x(65:128);

If this is a bit confusing, see the description of Matab's backslash operator.