- Problem Statement
A=[a b c; d e f; g h i]
Suppose that det(A) = −5. Let B be another 3 × 3 matrix (not given here) with det(B) = 6. Find the determinant of each of the following matrices.
I found it for the other ones in the question except for:
What is the determinant of D=3(A^-1)(B^T)?
- Relevant Equations
I assumed that my calculation would be 3(-5^-1)(6) and I got the answer -18/5, however this is incorrect, Im unsure of where I am going wrong. I thought the determinant of a matrix is equal to the determinant of the transpose of the matrix so det(B)=6 would also be det(B^T)=6?