A matrix A of order 3 × 3 has determinant 5. What is the value of |3A|?

If the determinant of a matrix A of order m is ∆, then the determinant of matrix λA, where λ is a scalar, is λm∆.

In this question, ∆=5, λ=3 and m=3.


|λA|=33×5


=135


1