Tagged Questions
4
votes
1answer
170 views
Why is the determinant invariant under row and column operations?
I know that we may add any row to any other in a determinant and its value remains the same.
This is clear enough since elementary matrices corresponding to row and column operations have determinant ...
2
votes
0answers
85 views
Intuition in permutations for Laplace Determinant Expansion
Starting with the Leibniz formula for the determinant, I wish to derive the Laplace (Cofactor) Expansion. At the risk of being overly verbose, please see the proof here. Now I understand the idea of ...
5
votes
2answers
466 views
where did determinant come from? [duplicate]
Possible Duplicate:
What's an intuitive way to think about the determinant?
I just learned the basics of matrices. Then I came across the magical formula
$$\det(AB)=\det(A)\det(B)$$
I ...
131
votes
9answers
8k views
What's an intuitive way to think about the determinant?
In my linear algebra class, we just talked about determinants. So far I’ve been understanding the material okay, but now I’m very confused. I get that when the determinant is zero, the matrix doesn’t ...
