b) Using the basis S in (a), find [T)s if ū = (2, i, 2 – i).

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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a) Show that S = {(i,0, 0), (i, i, 0), (0, 0, i)} is a basis for C³
b) Using the basis S in (a), find [ū]s if ū = (2, i, 2 – i).
Transcribed Image Text:a) Show that S = {(i,0, 0), (i, i, 0), (0, 0, i)} is a basis for C³ b) Using the basis S in (a), find [ū]s if ū = (2, i, 2 – i).
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