Answered: Find a basis among the vectors [1, 1,…

Find a basis among the vectors [1, 1, 3]; [–1,0, 10]; [0, –3, –2]; [–1, -3, –5] (which are surely linearly dependent as they are 4 vectors in R³.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 71E

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Find a basis among the vectors [1, 1, 3]; [–1,0, 10]; [0, –3, –2]; [–1, -3, –5] (which are
surely linearly dependent as they are 4 vectors in R³.

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