Plotting planes from set of linear equations

Hi,

How can I plot the 3 planes of a set of linear equations:

By plotting it easier to determine if there is one, infinte or zero solutions

example

x - 2y - 3z=0

2y + z = -8

-x + y + 2z = 3

To find the solution I define the matrix and use reduced row echolon form function:

A =

1 -2 -3 0

0 2 1 -8

-1 1 2 3

>> rref(A)

ans =

1 0 0 -4

0 1 0 -5

0 0 1 2

[Marius Sæther]

Thanks.

Just what I was looking for

Kind regards

Marius

Answer 1

[Matt J]

fimplicit3(@(x,y,z)  x-2*y-3*z,'EdgeColor','none','FaceColor','b')
hold on;
fimplicit3(@(x,y,z)  2*y+z,'EdgeColor','none','FaceColor','g')
fimplicit3(@(x,y,z)  -x+y+2*z,'EdgeColor','none','FaceColor','r')
hold off