Det(3a)

If A and B are 4x4 matrices, det(A) = -4, det(B) = 3, then

(b) det(3A) = ????,

Expert Answers
tiburtius eNotes educator| Certified Educator

One property of determinants says for `nxxn` matrix `A` and some scalar `c` the following holds

`det(c cdot A)=c^ndet(A)`

Hence we have

`det(3A)=3^4det(A)=81cdot(-4)=-324` <-- Solution