Question

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 (λ1, ... , λn ) ] = Πiλi

Answer 1

I hope it helps. Please feel free to revert back with further queries