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Linear Algebra: Lecture 27: determinant properties, Cramer's Rule derived

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Published on Mar 30, 2015

This is the second lecture on determinants. I probably waste too much time showing multilinearity from the definition. Perhaps a wise lecturer would have devoted more time to the proof of det(AB)=det(A)det(B). I show how Cramer's Rule follows from the product formula of the determinant. Next lecture we discuss the adjoint and some applications.

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