Differential Equations and Linear Algebra (4th Edition)

Published by Pearson

Chapter 3 - Determinants - 3.1 The Definition of the Determinant - Problems - Page 206: 14

See below.

Work Step by Step

We are missing an entry from row $2$ and column $1$, thus $p=2,q=1$. The ordered pairs that are out of order are: $(3,1),(3,2), (4,2)$, thus the number of inversions is $3$, the parity is odd, thus the sign is negative.

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