Numerically solving the null vector

[wdlang]

i have a 1000 by 1000 matrix A

A is definitely singular

I want to solve the null vector numerically

How to do this?

matlab does not work!

 

[jbunniii]

i have a 1000 by 1000 matrix A

A is definitely singular

I want to solve the null vector numerically

How to do this?

matlab does not work!

Can you clarify what you mean by "solve the null vector"? Do you mean that you want to find a vector $$x \neq 0$$ such that $$Ax = 0$$? i.e., to find a nonzero element of the null space?

 

[wdlang]

Can you clarify what you mean by "solve the null vector"? Do you mean that you want to find a vector $$x \neq 0$$ such that $$Ax = 0$$? i.e., to find a nonzero element of the null space?

yes!

 

[jbunniii]

yes!

If you want to use Matlab to do it, look up the "null" command:

Z = null(A);

returns an orthonormal basis for the null space of A.