Repeat Exercise 4.11 with r(k) = exp(−k2/s), beginning with s = 1 and the same n = 7. Compute the condition number and increase the sample size n until Cholesky fails. Modify s and determine whether...

Repeat Exercise 4.11 with r(k) = exp(−k2/s), beginning with s = 1 and the same n = 7. Compute the condition number and increase the sample size n until Cholesky fails. Modify s and determine whether the condition improves or worsens with larger or smaller s.