The MATLAB statement returns an n × n matrix. Create the matrix F = gallery(‘frank’,15,1) and perform the following computations:  The determinant of any Frank matrix is  Verify this for  If  is odd,...

The MATLAB statement

returns an n × n matrix. Create the matrix F = gallery(‘frank’,15,1) and perform the following computations:

 The determinant of any Frank matrix is
 Verify this for

 If
 is odd,
 is an eigenvalue. Verify this for

 Some of the eigenvalues of
 are sensitive to changes in the entries of
 Perturb the entries of
 by executing the statement

and compute the eigenvalues. Comment on the change in eigenvalues between the original
 and the perturbed