: Let A, B are two subspace of a vector space X over afield F such that a, B, XE F prove that hos set of X. (3)aA + BB; VG AB is is subspace of X. (2)aAUB is a convex a affine set of X.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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Q2: Let A, B are two subspace of a vector space X over afield F such that a, B, XE F
prove that has
AnλB
is
subspace of X. (2)aAUB is a convex
set of X. (3) αA + BB: D
a affine set of X.
Transcribed Image Text:Q2: Let A, B are two subspace of a vector space X over afield F such that a, B, XE F prove that has AnλB is subspace of X. (2)aAUB is a convex set of X. (3) αA + BB: D a affine set of X.
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