Proof about determinants
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From Determinants.
(From Determinants. Prove the proposition without using Cofactors/Cramer's rule.)
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Solution Summary
This is a proof regarding determinants of elementary matrix and arbitrary square matrix.
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Proof:
We should use the following properties of determinant.
1. Switching two rows or columns changes the sign.
2. Scalar multiplication of a row by a constant multiplies the determinant by .
3. Multiplies of rows and columns ...
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