Write the value of the following determinant: `|[102, 18, 36],[ 1, 3, 4],[17, 3, 6]|`

Explanation

`Delta=|[102, 18, 36],[ 1, 3, 4],[17, 3, 6]|`

`Delta=|[6(17),6(3),6(6)],[ 1, 3, 4],[17, 3, 6]|`

Here `1^(st)` row is multiplied by 6

So, By Property- If each element of row of determinant is multiplied by a constant k, then its value get multiplied by k.

We get,
`Delta=6|[17,3,6],[ 1, 3, 4],[17, 3, 6]|`

Since Row 1 and Row 3 are identical, then value of determinant is 0

`Delta=6xx0`

`Delta=0`