all the entries of A and of b are integers, and that det A = -1. #1 Let x Consider a system Ax b, where A is an n x n matrix. Suppose that In be a solution to this system. Show that ₁, 2,...,n are integers as well.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 60EQ
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all the entries of A and of b are integers, and that det A = -1.
I1
Let x
Consider a system Ax b, where A is an n x n matrix. Suppose that
In
be a solution to this system. Show that ₁,2,..., are integers as well.
Transcribed Image Text:all the entries of A and of b are integers, and that det A = -1. I1 Let x Consider a system Ax b, where A is an n x n matrix. Suppose that In be a solution to this system. Show that ₁,2,..., are integers as well.
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