Determine the determinant

Algebra Level 3

If $A$ and $B$ are two matrices of order $3\times3$ such that $|A|=3$ and $|B|=-1$ , find the value of $|3AB|$ .

-9 -27 9 -3 -81 3 81 27

1 solution

Prince Loomba
Oct 11, 2016

We know that multiplying 3 to a matrix of order 3 means multiplying 27 to its determinant. So answer becomes27×3×-1=-81