# Determinant as sum of cofactors

I have just gone through the proof that by summing the product of the elements and cofactors along any row of a matrix, you obtain the determinant.

I understand the mechanism of the proof, but could anyone explain this result in a more intuitive manner?

• Do you want intuition for the determinant itself,or the computation using cofactors? – Siddharth Bhat Apr 24 at 17:23
• Might be of interest: math.stackexchange.com/questions/845196/… – Thorgott Apr 24 at 17:24
• Intuition for the computation using cofactors – Joseph Apr 25 at 1:17