Question

Planes The following set of three linear algebraic equations (3) – (5) represents three planes in an X-Y-Z coordinate system. Visualize the three planes in MATLAB. Find the intersection of the three planes by manual Gauss elimination and indicate the solution with the three planes. Find the intersection programmatically using Ax = b to validate your answer.

I need help plotting the planes nothing seems to work when i do this

A=[1 1 1; 2 3 1; 3 2 1 ];

% b=[2;1;3];

% n=A\b;

%

% m = linspace(-2,0,2);

% z = linspace(-2,0,2);

% y1 = n+m+z-2;

% y2 = 2*n+3*m-1;

% y3 = 3*n+2*m+z-3;

% figure

% fsurf(y1,m,z)

Answer 1

Please find the required MATLAB script as the following. You need to use meshgrid.

%=============================================

A=[1 1 1; 2 3 1; 3 2 1 ];

b=[2;1;3];

n=A\b;
m = linspace(-2,0,2);
z = linspace(-2,0,2);
[N,M,Z] = meshgrid(n,m,z) ;
y1 = n+m+z-2;
y2 = 2*n+3*m-1;
y3 = 3*n+2*m+z-3;

figure
surf(y1,y2,y3)

%=============================================

output: