Apply the Gram-Schmidt process to the vectors 2 4 Vi =| 1 -4 |-2 V3 8 explain why the v,'s are linearly independent. Also use your output to make an orthonormal he three vectors w1, W2, W3 that you get from the Gram-Schmidt process should all have as a safety check you may want to verify directly that they are pairwise orthogonal.)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 16CM
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Apply the Gram-Schmidt process to the vectors
2
4
Vi =| 1
-4
|-2
V3
8
explain why the v,'s are linearly independent. Also use your output to make an orthonormal
he three vectors w1, W2, W3 that you get from the Gram-Schmidt process should all have
as a safety check you may want to verify directly that they are pairwise orthogonal.)
Transcribed Image Text:Apply the Gram-Schmidt process to the vectors 2 4 Vi =| 1 -4 |-2 V3 8 explain why the v,'s are linearly independent. Also use your output to make an orthonormal he three vectors w1, W2, W3 that you get from the Gram-Schmidt process should all have as a safety check you may want to verify directly that they are pairwise orthogonal.)
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