Find incomparable elements in the poset (P({1, 2, 3]), s) Note: P: power set {1, 2} and {1, 2, 3} (1) and (2) (2, 3) and (3) (1) and (1,2) (3) and {1, 2}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 25E: Determine whether the set S={1,x2,2+x2} spans P2.
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Find incomparable elements in the poset (P({1, 2, 3}), ≤).
Note:
P: power set
O {1, 2} and {1, 2, 3}
{1} and {2}
{2, 3} and {3}
{1} and {1, 2}
{3} and {1, 2}
Transcribed Image Text:Find incomparable elements in the poset (P({1, 2, 3}), ≤). Note: P: power set O {1, 2} and {1, 2, 3} {1} and {2} {2, 3} and {3} {1} and {1, 2} {3} and {1, 2}
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