Answer
Expanding along the first row, the determinant of a
$ 4 \times 4$ matrix involves four $ 3 \times 3$ determinants. Each of
these $ 3 \times 3$ determinants requires $6$ triple products. So,
there are $(4)(6) =24 $ quadruple products.
Work Step by Step
Expanding along the first row, the determinant of a
$ 4 \times 4$ matrix involves four $ 3 \times 3$ determinants. Each of
these $ 3 \times 3$ determinants requires $6$ triple products. So,
there are $(4)(6) =24 $ quadruple products.