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Khan Academy
Khan Academy: Linear Algebra: Determinant of a Transpose
Video demonstrating that the determinant of a matrix is equivalent to the determinant of the transpose of a matrix. Proof by induction is used to prove this property. [14:10]
Khan Academy
Khan Academy: More Determinant Depth: Duplicate Row Determinant
A video lesson proving that if a matrix has duplicate rows then its determinant will be 0.