Drawing a second order curve

Is it possible and in what way to plot a second-order curve given in the implicit form.

The equation reads: a11*x.^2 +a22*y.^2+2*a12*x*y+2*a13*x+2*a23*y+α33= 0

The domains of the variables are: x(0:1), y(0:1)

Answer 1

[Image Analyst]

Here's a start. Adapt as needed:

clc;    % Clear the command window.
close all;  % Close all figures (except those of imtool.)
clear;  % Erase all existing variables. Or clearvars if you want.
workspace;  % Make sure the workspace panel is showing.
format short g;
format compact;
fontSize = 18;
fprintf('Beginning to run %s.m ...\n', mfilename);

a = rand(3,3) - 0.5
[x, y] = meshgrid(linspace(0, 1, 100), linspace(0, 1, 100));
z = a(1,1)*x.^2 +a(2,2)*y.^2+2*a(1,2)*x*y+2*a(1,3)*x+2*a(2,3)*y+a(3,3);
surf(x, y, z);
grid on;
xlabel('x', 'FontSize', fontSize);
ylabel('y', 'FontSize', fontSize);
zlabel('z', 'FontSize', fontSize);
fprintf('Done running %s.m.\n', mfilename);