Diagonal Trick for Easy Determinants! | Linear Algebra

We go over a trick for calculating determinants of 2x2 matrices and determinants of 3x3 matrices. We can calculate these quickly using an easy to remember diagonal pattern. We'll do an example of the determinant trick on two matrices. #linearalgebra
Cofactor Definition of the Determinant: • The Cofactor Definitio...
Linear Algebra course: • Linear Algebra
Linear Algebra exercises: • Linear Algebra Exercises
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0:00 Intro
0:44 Trick for 3x3 Determinants
1:55 Determinant Trick for 2x2 Matrix
2:14 Determinant Trick for 3x3 Matrix
3:29 Determinant Shortcut for 3x3 Matrix
4:05 Outro
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[@kingbeauregard]

They don't teach the Bareiss algorithm for determinants, which is a shame, because it makes large matrices manageable. Even better, it's lightning-fast on computers, without introducing the inaccuracies that Gaussian elimination does.

[@kingbeauregard]

Here's my write-up on how to do it by hand:
www.paprikash.com/lou/bareiss.pdf
Any programmer with any chops can implement this in the language of their choosing easily.