Let ui = (1, –2, – 1), u2 = (2, 2, -2), and v = (0,0, 1). v is not in the subspace W spanned by u, and u2. Use this fact to construct a nonzero vector uz3 in R3 that is orthogonal to u̟ and u2.
Let ui = (1, –2, – 1), u2 = (2, 2, -2), and v = (0,0, 1). v is not in the subspace W spanned by u, and u2. Use this fact to construct a nonzero vector uz3 in R3 that is orthogonal to u̟ and u2.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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![37. Let uj = (1, -2, –1), u2 = (2, 2, -2), and v = (0,0, 1). v is not in the subspace W
spanned by u1 and u2. Use this fact to construct a nonzero vector uz in R3 that is
orthogonal to u̟ and u2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06cd2e35-443e-495f-88e1-7b69cb04e155%2Ff65f87fe-8f79-4f5e-9707-ee4b6f8f8507%2Fdvxx7di_processed.jpeg&w=3840&q=75)
Transcribed Image Text:37. Let uj = (1, -2, –1), u2 = (2, 2, -2), and v = (0,0, 1). v is not in the subspace W
spanned by u1 and u2. Use this fact to construct a nonzero vector uz in R3 that is
orthogonal to u̟ and u2.
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