Section: Array Generation and Manipulations
rank function is
y = rank(A,tol)
where tol is the tolerance to use when computing the
rank. The second form is
y = rank(A)
in which case the tolerance tol is chosen as
tol = max(size(A))*max(s)*eps,
where s is the vector of singular values of A. The
rank is computed using the singular value decomposition svd.
--> rank([1,3,2;4,5,6]) ans = 2 --> rank([1,2,3;2,4,6]) ans = 1 --> quit
Here we construct an ill-conditioned matrix, and show the use
of the tol argument.
--> A = [1,0;0,eps/2]
A =
1.0000 0
0 0.0000
--> rank(A)
ans =
1
--> rank(A,eps/8)
ans =
2
-->
quit