Conjecture and use induction. The way we have found will help you.
Hello everyone,
Please help me with finding the determinant of
I've tried to solve by myself, but I coudln't get anywhere. I do wish to improve my skill in mathematics; I am not asking for the complete answer. Just give me what to start, then I will try again. I do appreciate your help. Thank you.
I see... that way, the determinant can be written
.
The determinent term in (n,i)cofactor (I mean, the \vmatrix part of the equation above) of the matrix is given by
Therefore
(am I correct?).
I haven't been learning linear algebra for long yet, so knowing many ways to solve one problem really helps me. Thank you very much.