The execution of A = gallery(’kahan’,n,theta) returns an upper-triangular matrix that has interesting properties regarding estimation of condition number and rank.The default value of theta is Let...

The execution of A = gallery(’kahan’,n,theta) returns an

upper-triangular matrix that has interesting properties regarding estimation of condition number and rank.The default value of theta is

Let

and compute singvals
What is the smallest singular value? Verify that this is correct to five significant digits using svd. Try to compute the inverse of

What is the true rank of

What is the result of computing the rank using MATLAB? If there is a difference, explain.