By passing two extra arguments to diag, you can specify the dimensions of the output. Create a 20-by-21 matrix with ones on the main diagonal. Now add a row of zeros above this to create a 21-by-21...

By passing two extra arguments to diag, you can specify the dimensions of the

output. Create a 20-by-21 matrix with ones on the main diagonal. Now add a row

of zeros above this to create a 21-by-21 square matrix, where the ones are offset a

row below the main diagonal.

Create another matrix with the ones offset one up from the diagonal.

Add these two matrices together, then add the answer from  4-2. The re‐

sultant matrix is called a Wilkinson matrix.

The eigen function calculates eigenvalues and eigenvectors of a matrix. Calculate

the eigenvalues for your Wilkinson matrix. What do you notice about them? [20]