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(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`

and

`b`

such that

`|B|=-27b^(2)`