Question

5. Consider a 3 x 3 matrix given by A = 01 012 013 az az 633 ( dai 632 033 The trace of A is defined as tr(A)=2au. Given another 3 x 3 matrix bu bı2 bia B- bi brz bra | bgi bz2 by it can be shown that trAB') = tr(AB). Write a script that prompts the user to enter minimum and maximum random integers The script should then generate a random 3 x 3 matrix A of real valued numbers between the specified minimum and maximum, as well as a random 3 x 3 matrix B of integers between the specified minimum and maximum (inclusive). Next, the script should calcu- late, and save to a variable each, the trace of A, the trace of B, the trace of AB', and the trace of A'B. Finally, the script should print the A and B matrices and the four calculated trace values. Sample output: 5 15 Enter the minimum randos interer: Enter the maximum randon integer: Matrix A 13: 9.9900 8.3399 13.3950 13.0039 12.8484 11.2553 10.7207 9.1642 5.8733 Matrix Bis: 99 14 The trace of Ain 28.61 The trace of Bis 29.00 The trace of AB 1 760.67 The trace of AB 780.67

Using Matlab or Octave, I do not know how to write the script for this problem, please help. Must match sample output

Answer 1

`Hey,

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

Please note since it involves random integers so answer will vary every time you run.

format short;
m1=input('Enter the minimum random integer: ');
m2=input('Enter the maximum random integer: ');
A=rand(3)*(m2-m1)+m1;
B=randi([m1,m2],3,3);
disp('Matrix A is: ');
disp(A);
disp('Matrix B is: ');
disp(B);
fprintf('The trace of A is %.2f\n',trace(A));
fprintf('The trace of B is %.2f\n',trace(B));
fprintf('The trace of A B'' is %.2f\n',trace(A*B'));
fprintf('The trace of A'' B is %.2f\n',trace(A'*B));

Kindly revert for any queries

Thanks.