If `A` and `B` are square matrices of order 3 such that `|A|=-1` , `|B|=3` , then find the value of `|3A B|` .

Explanation

We know that
`∣AB∣=∣A∣∣B∣`

Also for a square matrix of order 3
`∣KA∣=K^3∣A∣`

because each element of the matrix A is multiplied by k and hence in this case we will have `k^3` common.


`therefore ∣3AB∣=3^3∣A∣∣B∣`

=
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