\
The determinant is
.
Step 1:
\Rewrite the first two columns to the right of the determinant.
\
(Original determinant)
Step 2:
\Find the product of the elements of the diagonals.
\First group diagonals.
\
(Multiply first group diagonals)
(Multiply second group diagonals)
Step 3:
\Find the sum of each group.
\Sum of the first group diagonals
.
Sum of the second group diagonals
.
Step4:
\Subtract the sum of the second group from the sum of the first group.
\
.
The determinant value is
.