Write the value of the determinant `|2 3 4 2x3x4x5 6 8|` .

Explanation

Given,`/_\=abs([2,3,4],[2x,3x,4x],[5,6,8])`

Using the property that if the equimultiples of corresponding elements of other rows (or columns) are added to every element of any row (or column) of a determinant, then the value of determinant remains the same

Using row transformation, `R_2 → R_2- x R_1`

=`abs([2,3,4],[2x-2x,3x-3x,4x-4x],[5,6,8])`

Using the property that if all elements of any row or column of a determinant are 0, then the value of determinant is 0.

Since `R_2` has all elements 0, therefore `Delta = 0`.