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" If "D=|[a,b,c],[c,a,b],[b,c,a]|" and "...

" If "D=|[a,b,c],[c,a,b],[b,c,a]|" and "D'=|[b+c,c+a,a+b],[a+b,b+c,c+a],[c+a,a+b,b+c]|," then prove that "D'=2D

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