4. Determine whether the column vectors in each of the following matrices form a basis for R³. If they do not, explain why. (a) (b) (c) B = 3 -1 2 A = C = 3 1 0 2 1 0 -2 0 2 5 -3 1 0 -1 2 3 1 0 0 2 -3 1 [1] 1 0 0 -0.74 01 0 0.22 001 2.13 [100 0 1 0 00 1
4. Determine whether the column vectors in each of the following matrices form a basis for R³. If they do not, explain why. (a) (b) (c) B = 3 -1 2 A = C = 3 1 0 2 1 0 -2 0 2 5 -3 1 0 -1 2 3 1 0 0 2 -3 1 [1] 1 0 0 -0.74 01 0 0.22 001 2.13 [100 0 1 0 00 1
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.4: Transistion Matrices And Similarity
Problem 29E
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