We can calculate determinants using Gauss-Jordan elimination. If we reduced a matrix to triangular form the determinant is easy to calculate, then we can relate the determinant of the triangular matrix to the determinant of the original matrix by considering how the elementary row operations we performed must have changed the determinant. #linearalgebra

How Row Operations Change the Determinant:    • How Row Operations Change the Determi...  
Determinants by Cofactor Expansion:    • The Cofactor Definition of Determinan...  

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0:00 Intro
0:53 The Row Reduction Method
1:20 3x3 Matrix Determinant by Row Reduction
2:39 Another 3x3 Determinant
4:14 4x4 Matrix Determinant by Row Reduction
5:53 Conclusion

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