Hey, i am really stuck with this question and any help would be greatly appreciated!
If D is a diagonal matrix with positive diagonal entries and L is a lower triangular matrix, I have to show that D-L is non-singular.
Thanks in advance!
thanks for your answer!
I missed out a part of the question which may be crucial as L is just lower triangular.
Suppose A is positive definite. Note that we can write A = D - L - L* with D and L defined in my first post and L* is the conjugate transpose of L i think. Show that D - L is non-singular.
Thanks very much!