Some Math Basics often used in Photogrammetry (Cyrill Stachniss, 2021)

[@davidarnon2775]

Thanks for your great videos!
Minor remarks:
Cholesky decomposition exists only for symmetric (Hermitian) positive semidefinite matrices.
Skew symmetric matrix is singular only for odd dimensions.

[@CyrillStachniss]

Thanks. Absolutely valid points. Especially my skew symmetric matrix statement is simply wrong

[@er-wl9sy]

Thanks Cyrill great lecture. Will you be doing a lecture on lie groups as well?

[@jaekwangoh7496]

Thanks Cyrill great lecture, I have one question. Is it okay that trivial solution does not exist in equation Ax = 0 ?

[@CyrillStachniss]

I depends what you need to do with A. If A has a rank deficiency such a solution will exists, if A is full rank then not. Some matrices there must be a non-trivial solution...

[@jaekwangoh7496]

@@CyrillStachniss Thanks for your kind answer ..! But I wonder why in 22 page "If not, there is no trivial solution...". I think that equation(Ax=0) for all cases has a trivial solution.

[@CyrillStachniss]

Correctly spotted, it should state: if dnn is not 0, than there is no non-trivial solution

5* :D