Suppose that all the entries in A are integers and det A = 1. Explain why all the entries in A–1 are integers.
Suppose that all the entries in A are integers and det A = 1. Explain why all the entries in A–1 are integers.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 21E: Prove that if and are integers such that and , then either or .
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Suppose that all the entries in A are integers and det A = 1. Explain why all the entries in A–1 are integers.
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