Let

Using the property that if each element of a row (or a column) of a determinant is multiplied by a constant k, then its value gets multiplied by k.

Taking out factor 2 from R₂ and 3 from R₃,

We get,

Using the property that If any two rows (or columns) of a determinant are identical (all corresponding elements are same), then the value of the determinant is zero.

Since R₁, R₂ and R₃ are identical, therefore ∆=0