If A and B are 4x4 matrices, det(A) = -4, det(B) = 3, then (h) det((8A)^-1) = ????

Asked on by luessssss

1 Answer | Add Yours

tiburtius's profile pic

tiburtius | High School Teacher | (Level 2) Educator

Posted on

We will use the following two properties of determinants:

1) `det(cA)=c^ndet(A),` `c in RR` when `A` is `nxxn` matrix

2) `det(A^(-1))=1/(det(A))`

Hence we have


We’ve answered 320,039 questions. We can answer yours, too.

Ask a question