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Exercise 4.2.30

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We can interchange the $i$ -th row and the $(n + 1 - i)$ -th row for all $i = 1, 2, \dots ⌊ \frac{n}{2} ⌋$ ¹. Each process contribute $- 1$ one time. So we have that

\det (B) = {(- 1)}^{⌊ \frac{n}{2} ⌋} \det (A) .

jephianlin

2011-06-27 00:00

Exercise 4.2.30

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