Let R² have the inner product (u,v) = 5u₁v₁ + 4u₂V2, and let x = (2,2) and y =(4,-1).a. Find ||x||, |ly||, and | (x,y) |².b. Describe all vectors (z₁,z₂) that are orthogonal to y.a. Find ||x||, ||y||, and | (x,y) |².|||x|| = |||y|||(x,y) |² ==(Simplify your answer. Type an exact answer, using radicals as needed.)(Simplify your answer. Type an exact answer, using radicals as needed.)(Simplify your answer.)

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Let R² have the inner product (u,v) = 5u₁ V₁ +4u₂V₂, and let x = a. Find ||×||, |ly||, and | (x,y)|². b. Describe all vectors (z₁,z₂) that are orthogonal to y. a. Find ||x||, ||y||, and | (x,y) |². ||x|| |ly|| = | (x,y) |² = = = (2,2) and y = (4, − 1). (Simplify your answer. Type an exact answer, using radicals as needed.) (Simplify your answer. Type an exact answer, using radicals as needed.) (Simplify your answer.)

Let R² have the inner product (u,v) = 5u₁ V₁ +4u₂V₂, and let x = a. Find ||×||, |ly||, and | (x,y)|². b. Describe all vectors (z₁,z₂) that are orthogonal to y. a. Find ||x||, ||y||, and | (x,y) |². ||x|| |ly|| = | (x,y) |² = = = (2,2) and y = (4, − 1). (Simplify your answer. Type an exact answer, using radicals as needed.) (Simplify your answer. Type an exact answer, using radicals as needed.) (Simplify your answer.)

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 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...

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