Suppose v1, V2, V3 is an orthogonal set of vectors in R’. Let w be a vector in Span(v1, v2, v3) such that 30, v2 · v2 = w • vị = 150, w• v2 = 77, w · V3 = -50, Vi • V1 = 11, v3 • V3 = 25, then w = Vị + V2+ V3 .
Suppose v1, V2, V3 is an orthogonal set of vectors in R’. Let w be a vector in Span(v1, v2, v3) such that 30, v2 · v2 = w • vị = 150, w• v2 = 77, w · V3 = -50, Vi • V1 = 11, v3 • V3 = 25, then w = Vị + V2+ V3 .
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 43E: Prove that in a given vector space V, the zero vector is unique.
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