The answer key says 8 but I'm getting 2. I think the problem is when I factor out the 1/2, should I be factoring out a 2 instead?
Any help is appreciated!
I still don't understand, isn't there the property:
If B is the matrix that results when a single row or column of A is multiplied by a scalar k, then $\displaystyle det(B)= kdet(A)$
If I were to multiply det(A) by k=1/2 then I would get det(B)
So $\displaystyle det(B)= kdet(A)$
Or is it that I'm just thinking of this all backwards?
I know for sure that if (from another example) if I divided a row by some scalar k, say I divided by 2, I would have something like $\displaystyle kdet(A)$ so then $\displaystyle 2det(A)$
Thanks!