Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 3 - Determinants - 3.1 The Determination of a Matrix - 3.1 Exercises - Page 111: 59

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.
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