MATLAB: How to solve a linear equation with a variable inside the matrix,

linear matrix

I am trying to solve a linear equation with 3 unknowns that is in the form of A*X=B , and one element in B varies with a variable which I call it to be d=[0:50] , and at the end I need to graph these 3 unknowns as a function of d , but I keep getting errors for dimension , I think the problem is that I have a matrix inside another, I tried to run a loop, but I still get the same error , I have my code down here, so please advice me, I really appreciate it.
clear all
close all
clc
d=[0:50];
A=[1 1 1;10 28 40;144 -240 180];
B=[-40000;-40000*d;0];
F=linsolve(A,B); 
plot(d,F)

Best Answer

clear all
close all
clc
d=[0:50];
A=[1 1 1;10 28 40;144 -240 180];
B=[-40000;-40000;0];
F = zeros(3,numel(d)); % Initialize
for i = 1:numel(d)
    Bi = B.*[1;d(i);0]; % Create a new B each iteration for a new d
    F(:,i)=linsolve(A,Bi); 
end
plot(d,F)
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