Write the value of the determinant

Given, matrix

We know, determinant of a matrix is given by

= a₁(b₂c₃ – b₃c₂) – a₂(b₁c₃ – b₃c₁) + a₃(b₁c₂ – b₂c₁)

Putting values, we get

|A| = 2[6(12x) – 8(9x)] – 3[5(12x) – 8(6x)] + 4[5(9x) – 6(6x)]

= 2[72x – 72x] – 3[60x – 48x] + 4[45x – 36x]

= - 36x + 36x

= 0