Question

Write script in Matlab to solve

1. Y=Ax where X is of dimension n by 1 and A is of dimension m by n.

2. C= A*B where A is of dimension m by p and B is dimension of p by n.

So write matlab script to obtain Y and C in above problems.

Answer 1

Since the given question asked for matrix multiplication, I assume that you aren't allowed to use direct '*' operation which can do matrix multiplication directly in MATLAb. So, please find the required MATLAB code below:

clear all; clc; close all;

A=[2 3 5; 4 5 4]; % m*n dimension matrix

x=[4;5;6]; % n*1 dimesion matrix

B=[2 6; 3 6; 4 6]; % n*k dimenion matrix

%% PROBLEM 1

[m,n]=size(A);

[k,l]=size(x);

disp('Solving Problem 1:')

Y=zeros(m,1);

for i=1:m

for j=1:l

for p=1:n

flag=1;

Y(i,j)=Y(i,j)+ A(i,p)*x(p,j);

end

end

end

disp(Y)

%% PROBLEM 2

disp('Solving Problem 2:')

[m,n]=size(A);

[k,l]=size(B);

C=zeros(m,l);

for i=1:m

for j=1:l

for p=1:n

flag=1;

C(i,j)=C(i,j)+ A(i,p)*B(p,j);

end

end

end

disp(C)

========================== SCREENSHOT OF CODE