Let A.B.(C X. Then, b.l AxcBnO=(AXB) NCAX() CAXB) NCAXC %3D Mixmney
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 26E: Determine whether the set S={2x+x2,8+x3,x2+x3,4+x2} spans P3.
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![Let \( A, B, C \subseteq X \). Then,
\[ b.) \quad A \times (B \cap C) = (A \times B) \cap (A \times C) \]
This describes a property of Cartesian products and intersections in set theory. It states that the Cartesian product of set \( A \) and the intersection of sets \( B \) and \( C \) is equal to the intersection of the Cartesian products of \( A \) with \( B \) and \( A \) with \( C \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dbb4ae4-0d65-4baa-9481-63f79be91eca%2F80a05156-081c-44d5-bcf1-6a30b341d9ee%2F5l50reh.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( A, B, C \subseteq X \). Then,
\[ b.) \quad A \times (B \cap C) = (A \times B) \cap (A \times C) \]
This describes a property of Cartesian products and intersections in set theory. It states that the Cartesian product of set \( A \) and the intersection of sets \( B \) and \( C \) is equal to the intersection of the Cartesian products of \( A \) with \( B \) and \( A \) with \( C \).
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