Question Number 149116 by bramlexs22 last updated on 03/Aug/21

 If A is a 3×3 matrix where det(A)=−2  then what will be det(3A^2 A^(−1) )?  knowing that A^(−1)  is the inverse  of A

Answered by EDWIN88 last updated on 03/Aug/21

det(3A^2 A^(−1) )=det(3A)=3^3 ×det(A)  =27×(−2)=−54