how to solve matrix equation

I'd like to estimate the parameters of the following equation: Ax + By + Cz + D = 0.

There are thousands of instance of [x y z]. So we can have:

x_1 y_1 z_1 1     A       0
x_2 y_2 z_2 1   * B   =   0
...               C       0
x_n y_n z_n 1     D       0

How to solve it?

I'm using mldivide to compute it. However give me all zeros.

How to avoid the zeros answer?

Answer 1

[zhang]

please check the following link:

http://stackoverflow.com/questions/1515296/solving-a-matrix-in-matlab

[U S V] = svd(A); x = V(:,end)