(1.2) Given that
|[a,b,c],[d,e,f],[g,h,i]|=-3
Evaluate
det(A)
and
det(B)
for
A=[[-a,-b,-c],[2d,2e,2f],[3g,3h,3i]] and B=[[a,a+b,a+2b],[a+b,a+2b,a],[a+2b,a,a+b]].
Find whenever possible, the value(s) of
a
b
such that
|B|=-27b^(2)