Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3)such thatV1 · V₁ = 14, V₂ · V₂ = 15.25, V3 · V3 = 16,w • V1 == 42, w · v₂ = −76.25, w · v3 = 64,then w =V3.v1+V2+ 4

Answered: Image /qna-images/answer/7dce5f18-00a5-423f-b1d1-1c9ebb469a6b.jpg

Answered: Suppose V₁, V2, V3 is an orthogonal set…

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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Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3) such that 0101 = 14, v₂ · v₂ = 15.25, v3 · V3 = 16, = W • V1 = 42, w v₂ = -76.25, w · v3 = 64, then w = V3. v₁+ V2+ 4