Determine whether or not each of the following form a basis for C3 over C: (a.) (i, 1, 1),(1, 0, i) (b.) (i, 1, 1),(i, 2, 3),(2, −1, i) (c.) (1, 2, 3i),(i, 3, 5),(1, i, 1),(2, 3i, 0)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter6: Linear Transformations
Section6.4: Transistion Matrices And Similarity
Problem 29E
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Determine whether or not each of the following form a basis for C3 over C:

(a.) (i, 1, 1),(1, 0, i)

(b.) (i, 1, 1),(i, 2, 3),(2, 1, i)

(c.) (1, 2, 3i),(i, 3, 5),(1, i, 1),(2, 3i, 0)

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