Using Cofactors of elements of third column, evaluate `Delta=|(1,x, y z),(1,y, z x),(1,z, x y)|`

Explanation

To evaluate the determinant \( \Delta = \begin{vmatrix} 1 & x & y z \\ 1 & y & z x \\ 1 & z & x y \end{vmatrix} \) using cofactors of elements of the third column, we will follow these steps:

### Step 1: Identify the matrix and the elements of the third column
The given matrix is:
\[ A = \begin{pmatrix} 1 & x & y z \\ 1 & y & z x \\ 1 & z & x y \end{pmatrix} \]
We will use the elements of the third column \( (y z, z x, x y) \) for our cofactor expansion.
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