(a) Show that {v1, v2, V3} are linearly independent, where 1 V1 = 1 and v2 = and v3 = -2 Hence {v1, v2, v3} is a basis of V = span{v1, v2, V3}. (b) Find an orthonormal basis of V.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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(a) Show that {v1, v2, v3} are linearly independent, where
[0
and v2 =
V1 =
1
and v3 =
3
Hence {v1, v2, v3} is a basis of V =
(b) Find an orthonormal basis of V.
span{v1, v2, V3}.
Transcribed Image Text:(a) Show that {v1, v2, v3} are linearly independent, where [0 and v2 = V1 = 1 and v3 = 3 Hence {v1, v2, v3} is a basis of V = (b) Find an orthonormal basis of V. span{v1, v2, V3}.
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