Linear Equations infinite solutions parametric form

Hi,

I am trying to solve a system of the form Ax = b which has infinte many solutions:

for eg: 2x+y = 3; 4x+2y = 6

I want Matlab to return the solution in paramtric form: sol = (3-y/2, y)^T, something like this.

I there a method to achieve this easily without writing a complicated script?

Thanks in advance.

[Bjorn Gustavsson]

How big and how underdetermined are(is?) your system of equations? The answer depends crucially on this. For the general case you'll have to accept a small bit of (great and beautiful) linear algebra, but that might be beyond what you need...

[Virendrasingh Pawar]

It's a homework problem, small size cases (3*5 or 5*5 atmost). I am hoping for Matlab to retun the solution in paramteric form, can this be done? Thanks.

Answer 1

[Matt J]

x0=pinv(A)*b;
B=null(A);

sol=@(c)x0+B*c;