Help solving matrix: 15 eqns in 15 vars, am allowed to use Matlab or Mathcad

[animez]

a = is average of (up,down,left,right).
b,c etc.. is the same.

The task is to solve a,b,c.. etc.

 

[Otis]

View attachment 7662
a = is average of (up,down,left,right).

b,c, etc... is the same.

The task is to solve a,b,c,... etc.

A system of 15 equations in 15 variables. That's a lot of work to do by hand, unless there's a shortcut.

Did this exercise come from a linear algebra course?

 

[animez]

Yes. We're allowed to use Matlab or Mathcad, so we dont have to do it by hand.

 

[Deleted member 4993]

Yes. We're allowed to use Matlab or Mathcad, so we dont have to do it by hand.

So first step would be to set up the matrix to be inverted. Please reply back with a [15 x 15] matrix and a {15 x 1} vector.