Question

You can create a simple anonymous function eigenvalues sum by the following line of code and similarly, define eigenvalues product by Create at least five matrices and compute their eigenvalues sum, eigenvalues product, trace, and determinant. (You may need to look up trace and determinant in the Mathworks docu mentation.) What, if anything, do you notice?

You can create a simple anonymous function

eigenvalues

sum

by the following line of code:

and similarly, define eigenvalues product by

Create at least five matrices and compute their eigenvalues sum, eigenvalues product, trace,

and determinant. (You may need to look up trace and determinant in the Mathworks docu-

mentation.) What, if anything, do you notice?

MATLAB: I need the code for everything in the picture, not just the bottom paragraph. Thanks!

Answer 1

%%Matlab function for eigen value sum matrix A A-randi(5,5); sum and product of eigen values [sum_eig,product eig]Feigenvalues_sum (A); fprintf( 'For the matrix \n') disp (A) fprintf("1tSum of eigen values of A = %f\n', sume ig) fprintf( "\tProduct of eigen values of A- %f\n', product-eig) fprint f ( '\tDeterminant of A = %f\n', det ( A)); function [sum eig, product_eigl-eigenvalues_sum (A) sum_eig- sum of eigen values; tproduct eig- product of eigen values; %trace trace of eigen values %det determinant of eigen values ee-eig (A); sum eig-sum(ee); product_eig-l; for ǐjz1:length (ee ) product_eig-product_eig*ee(ii); end end ,,8888888888움움88888888 End of Code 움8888888888888888888888 For the matrix 2 2 Sum of eigen values of A-15.000000 Product of eigen values of A = 120.000000 Determinant of A 120.000000 Published with MATLAB® R2018a

%%Matlab function for eigen value sum
%matrix A
A=randi(5,5);

%sum and product of eigen values
[sum_eig,product_eig]=eigenvalues_sum(A);

fprintf('For the matrix \n')
disp(A)

fprintf('\tSum of eigen values of A = %f\n',sum_eig)

fprintf('\tProduct of eigen values of A = %f\n',product_eig)

fprintf('\tDeterminant of A = %f\n',det(A));

function [sum_eig,product_eig]=eigenvalues_sum(A)

    %sum_eig= sum of eigen values;
    %product_eig= product of eigen values;
    %trace = trace of eigen values
    %det = determinant of eigen values
  
    ee=eig(A);
    sum_eig=sum(ee);
  
    product_eig=1;
    for ii=1:length(ee)
        product_eig=product_eig*ee(ii);
    end
  
end

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