Determinants of Triangular Matrices | Linear Algebra

We discuss how to find the determinant of triangular matrices of any size. This includes determinants of upper triangular matrices, determinants of lower triangular matrices, and determinants of diagonal matrices. We see through a generalized example of the cofactor expansion that to calculate the determinant of a triangular matrix, we need only multiply the entries in the main diagonal. #linearalgebra

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Thanks to Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, and Shadow Master for their generous support on Patreon!

Outro music is mine. You cannot find it anywhere, for now.

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[WrathofMath]

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[onwritersbehalf]

I am Economics student and your videos helps a lot. Our whole class sees your videos and it helps us a lot so thankyou very much.

[dhritysarmah]

Can you make a video on how to Vectorize a square matrix

[pipertripp]

So is the proof of the theorem done using induction? Something like "we'll if the determinant of a generic k x k matrix is the product of the diagonal elements then we can show that a k+1 x k + 1 matrix is also the product of diagonal terms" or thereabouts?

[oscarlaruta]

In both case, which want is not a vector space, and why?

[PunmasterSTP]

Those types of matrices are definitely...triangulawesome! 👍📐