How Row Operations Change the Determinant | Linear Algebra

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We see how performing elementary row operations on a matrix changes the determinant. Using this knowledge, we can easily find the determinants of elementary matrices. We go over the fact that a matrix with proportional rows or columns has a determinant of 0, and we see how to find the determinant using row reduction. #linearalgebra

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0:00 Intro
0:29 The Effects of Elementary Row Operations
4:10 Determinants of Elementary Matrices
6:10 Proportional Rows Implies Determinant 0
7:22 Finding Matrix Determinant by Row Reduction

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It still seems odd to me that adding one row to another doesn't change the value of the determinant, especially adding multiples of one row to another. I understand the proof and everything, it's just kind of interesting to think about...

PunmasterSTP