In this video, we explain how the elementary row operations affect the determinant of a matrix. As such, we present an efficient algorithm to compute the determinant of a matrix using row reduction.
Linear Algebra Done Openly is an open source linear algebra textbook developed by Dr. Andrew Misseldine. It is supported and improved by student contributions done by Math 2270 Linear Algebra students at Southern Utah University, since Fall 2018. The textbook can be found at:
https://github.com/emisseldine/MisselBooks/tree/main/LinearAlgebra
This lecture covers section 5.2 - Properties of Determinants from the book. This is part 3 of 3 videos from this section.
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