% Function Name: plotSystem3D % Inputs (3): - (double) Vector of coeffecients of
ID: 3539445 • Letter: #
Question
% Function Name: plotSystem3D
% Inputs (3): - (double) Vector of coeffecients of first equation
% (double) Vector of coeffecients of second equation
% (double) Vector of coeffecients of third equation
% Outputs (3): - (double) x value of the solution
% (double) y value of the solution
% (double) z value of the solution
%
% Output Plot - A plot of the solution plotted as a red circle
%
% Function Description:
% Write a function, plotSystem3D that solves a system of linear
% equations and plots the solution.
% Your function will have three inputs :
%
% - A vector consisting of the coefficients of the first linear equation
% of the form Ax+By+Cz=D, which would be [A B C D].
% - Another vector consisting of the coefficients of a second line
% equation, with the same form as the first input.
% - Another vector consisting of the coefficients of a third line
% equation, with the same form as the first input
%
% Your function should have three outputs: the x, y, and z value of the
% solution. Your function will also plot the solution plotted as a RED
% CIRCLE.
%
% Hints:
% - You will find the '' operator useful when solving the system.
% - Because you will have have an x, y, and z value, you NEED to use the
% plot3 function instead of plot. plot3 works the same way, but allows
% you to pass in three values (an x, y, and z).
%
% Test Cases:
%
% [x y z] = plotSystem3D([1 -3 3 -4], [2 3 -1 15], [4 -3 -1 19]);
% => x = 5, y = 1, z = -2
% => plot looks like test_case1_plot.fig
%
% [x y z] = plotSystem3D([4 2 -2 10], [2 8 4 32], [30 12 -4 24]);
% => x = -2, y = 6, z = -3
% => plot looks like test_case2_plot.fig
Explanation / Answer
% since i don't know how your plot looks like, i have just generated a default one
function [x,y,z]=plotSystem3D(a,b,c)
A=[ a(1:3);b(1:3);c(1:3)];
vals=[ a(4); b(4); c(4) ];
ans=A als;
x=ans(1);
y=ans(2);
z=ans(3);
labels = cellstr( strcat('(',num2str(x),',',num2str(y),',',num2str(z),',',')') );
plot3(x,y,z,'ro');
grid on;
text(x,y,z, labels, 'VerticalAlignment','bottom', 'HorizontalAlignment','right');
end
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.