Solve Kernel of a matrix or eigenvalue=0; Solve AX=0 in CVI.

Hello,
We are working in the calibration of a cameras and we have some problems to solve an equations system:
There is a function to have the KERNEL of a matrix?
Could we solve an equation of a known matrix A multiplied by an unkwnown vector X equal 0 getting the Kernel of the matrix?
    A*X=0

If not, is it possible to solve it with the eigen values like in the next equation if we consider that LAMBDA is equal at 0?
   A*X=A*LAMBDA

In this second option, is possible to fix LAMBDA=0 before using the function GenEigenValueVector?

Thanks for all your help.