We know that P₁ = P2 on B if P₁ = P2 on C, provided that C generates B and is a 7-system. Show this last property cannot be omitted. For example, consider 2 (a, b, c, d) with P₁({a}) = P₁({d}) = P2({b}) = P₂({c}) and P₁({b})= P₁({c)) = P₂({a}) = P2({d}) = Set C= {(a, b), {d, c), {a, c), (b, d}}. 1 im

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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We know that P₁ = P2 on B if P₁ = P2 on C, provided that C generates B
and is a 7-system. Show this last property cannot be omitted. For example,
consider 2 (a, b, c, d) with
P₁({a}) = P₁({d}) = P2({b}) = P₂({c})
and
P₁({b})= P₁({c})= P₂({a})= P₂({d}) =
Set
C= {(a, b), (d, c), {a, c), (b, d}}.
1
im
Transcribed Image Text:We know that P₁ = P2 on B if P₁ = P2 on C, provided that C generates B and is a 7-system. Show this last property cannot be omitted. For example, consider 2 (a, b, c, d) with P₁({a}) = P₁({d}) = P2({b}) = P₂({c}) and P₁({b})= P₁({c})= P₂({a})= P₂({d}) = Set C= {(a, b), (d, c), {a, c), (b, d}}. 1 im
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