Using MATLAB, execute This creates a matrix we will use numerous times throughout the book for testing purposes.  Using rank, verify that the matrix is singular.  Compute its determinant using det. Is...

Using MATLAB, execute

This creates a matrix we will use numerous times throughout the book for testing purposes.

 Using rank, verify that the matrix is singular.

 Compute its determinant using det. Is the output correct?

 Compute the determinant of
 using the Symbolic Toolbox as follows:

 Given the fact that MATLAB uses row operations to compute the determinant in part
 suggest a reason for the large difference between the results of
 and