Question

Please code in MatLab or Octave

Output should match Sample Output in the second picture

Thank You

4. In this problem we will investigate using loops to calculate the product of two matrices. Given an mxn matrix A and an n x p matrix B, the matrix product C = AB is the m xp matrix with Cij = R=1 Qikbky. Write a program which calls a function get matrix.dimensions which should • print a description of the purpose of the program • call the function get positive integer thrice to obtain values for m, n, and p • return the resulting three values The function get positive integer should • take in a character input variable to use in the prompt • keep prompting the user and giving error messages (using %a) until a positive integer is entered • return the resulting value The main program should then call a function generate matrices which should • take in the three matrix dimensions m, n, and p • generate an mxn matrix A of random integers between -5 and 5, inclusive • generate an n xp matrix B of random integers between -5 and 5, inclusive • return the resulting two matrices The main program should then call a function multiply matrices which should • take in the two matrices to be multiplied and the three matrix dimensions! • use loops to calculate the product of the two matrices • return the resulting matrix The main program should then call a function print results which should • take in the original two matrices and the matrix which is their product • use loops to print all three matrices and print accompanying descriptions Sample output:

Answer 1

MATLAB Code:

function [m, n, p] = get_matrix_dimensions()
  
% Printing description
fprintf("\n This program will multiply a random m x n matrix by a random n x p matrix \n");
  
% Getting numbers
m = get_positive_integer('m');
n = get_positive_integer('n');
p = get_positive_integer('p');
  
end # function end

function n = get_positive_integer(ch)
% Function that reads positive integer
  
% Loop control variable
isLoop = true;
  
% Validating n
while isLoop == true
% Prompting user
fprintf("Enter a positive integer %s: ",ch);
n = input("");
  
% Less than 0
if n <= 0
fprintf("Invalid entry %d\n", n);
elseif floor(n)~=n
fprintf("Invalid entry %.1f\n", n);
else
isLoop = false;
end % If end
  
end % While end
  
end % function end

function [A, B] = generate_matrices(m, n, p)
% Generating matrices
A = randi([-5 5], m, n);
B = randi([-5 5], n, p);
end % function end

function matrix3 = multiply_matrices (matrix1, matrix2, m, n, p)
% Matrix Multiplication
% Initializing matrix 3 with 0's
matrix3 = zeros(m, p);
  
% Calculating result
for i = 1:m
for j = 1:p
for k = 1:n
matrix3(i,j) = matrix3(i,j) + ( matrix1(i,k) * matrix2(k,j) );
end
end
end
end % function end

function print_results (A, B, C, m, n, p)
% Function that prints results
fprintf("\nMatrix A is: \n");
for i=1:m
for j=1:n
fprintf("%5d", A(i, j));
end
fprintf("\n");
end

fprintf("\n\nMatrix B is: \n");
for i=1:n
for j=1:p
fprintf("%5d", B(i, j));
end
fprintf("\n");
end
  
fprintf("\n\nThe result of A times B is: \n");
for i=1:m
for j=1:p
fprintf("%5d", C(i, j));
end
fprintf("\n");
end

end % function end

Script:

% Script that handles matrix Multiplication

% Reading dimensions
[m, n, p] = get_matrix_dimensions();

% Generating matrices
[A, B] = generate_matrices(m, n, p);

% Multiplying matrices
C = multiply_matrices(A, B, m, n, p);

% Printing results
print_results(A, B, C, m, n, p);

_______________________________________________________________________________________________________

Sample Run:

>> matMultiplication This program will multiply a random m x n matrix by a random n xp matrix Enter a positive integer m: 0 Invalid entry 0 Enter a positive integer m: 5 Enter a positive integer n Invalid entry -2 Enter a positive integer n Enter a positive integer p: 3.5 Invalid entry 3.5 Enter a positive integer p: 3 -2 4 Matrix A is: -2 -2 -4 -5 -4 -4 -3 0 -5 -2 -5 -5 -2 -4 -1 -4 Matrix B is: -4 -1 -1 -2 -5 -2 -2 -3 -1 0 -3 -1 The result of A times B is: 24 35 15 33 39 18 16 29 12 36 37 18 30 20 11