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Problem 5. Let A = {t,u,v,w}, and let S₁ be the set of all subsets of A that do not contain w, and S₂ the set of all subsets of A that contain w. Show that S₁ S₂ = 0. (You must prove this fact anyway you like.)

Problem 5. Let A = {t,u,v,w}, and let S₁ be the set of all subsets of A that do not contain w, and S₂ the set of all subsets of A that contain w. Show that S₁ S₂ = 0. (You must prove this fact anyway you like.)

Linear Algebra: A Modern Introduction
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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Problem 5. Let A = {t, u, v, w}, and let S₁ be the set of all subsets of A that do not contain w, and S₂ the set of all subsets of A that contain w. Show that S₁nS₂ = 0. (You must prove this fact anyway you like.)
Transcribed Image Text:Problem 5. Let A = {t, u, v, w}, and let S₁ be the set of all subsets of A that do not contain w, and S₂ the set of all subsets of A that contain w. Show that S₁nS₂ = 0. (You must prove this fact anyway you like.)
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