ax=0

[grumpy steve]

>Quoting weino001 at students dot uni-mainz dot de:

>the right term is of course "underdetermined linear equations" - sorry

>>

>> Is there a script available for solving undetermined linear equation ax = 0

>> (more equations than variables, i need all solutions)?  If not, what is the

>> best way to solve it with octave.

>>

>> Thanks for any help

>> Oliver

>>

What you need to find is the null space of a.  Octave provides a function to do exactly that:

  NullSpace = null(a)

Now, any x that can be expressed as a linear combination of the columns of NullSpace is a solution to a x = 0

If NullSpace is an empty matrix, then this implies that the only solution is x=0.

Steve