The determinant of an n×n matrix can be calculated by adding the products of the element in any row or column multiplied by their cofactors. If we utilized the symbol ? for determinant
Then ? = aA + bB + cC
Or = dD + eE + fF
Note: generally for calculation purposes we obtain ? = aA + bB + cC
Thus in the example under discussion
? = (4 *-3) + (2 * 2) + (3 * 3) = 1