Diagonally dominant matrix with high condition number

Can diagonally dominant matrix get a high condition number(e.g > 100000).

Answer 1

[David Goodmanson]

Hello othello,

yes.

a = [2e5 .1;
      .1 1];
cond(a)
ans = 2.0000e+05

[othello nag]

Ah thanks ... the difference between smallest and largest eigenvalues is large. I missed that.

[David Goodmanson]

although in general it's not the eigenvalues that directly relate to cond:

m = [2 1e-5
     1e5 2];
>> eig(m)
ans =
     3
     1

>> cond(m)
ans =  3.3333e+09