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Let (N, L, P) be a probability space and H EL with P(H) > 0. For any arbitrary subset, A E L, and define P(AN H) P(H) PH(A) = P(A|H) Then show that (H, LH, PH) is a probability space.

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 68E: Proof Prove that if S1 is a nonempty subset of the finite set S2, and S1 is linearly dependent, then...

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Let (N, L, P) be a probability space and H EL with P(H) > 0. For any arbitrary subset, A E L,
and define
P(AN H)
P(H)
PH (A) = P(A|H) =
Then show that (H, LH, PH) is a probability space.

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