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  3. verify that the function det has the following pro

verify that the function det has the following properties 1. det(... ,v,..., v,...)=0 2. det(...,cv+dw,...)=c*det(...,v,...)+d*det(...,w,...) 3. use the...

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Advance Math

verify that the function det has the following properties

1. det(... ,v,..., v,...)=0

2. det(...,cv+dw,...)=c*det(...,v,...)+d*det(...,w,...)

3. use the above properties and normalization to prove that

A= det(...,v+cw,...w,...)=det(...,v,...,w,...)

B=det(...,v,...,w,...)= (-1)*det(...,w,...,v,...) and

C= det [diag (?1, ... , ?n ) ] = ?i?i

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