Problem 1. Determine whether the following vectors are linearly independent in R³:(i) (2, 1, -2), (3, 2, -2) and (2, 2, 0);(ii) (2, 1, -2), (-2,-1, 2) and (4, 2, -4);(iii) (1, 1,3) and (0, 2, 1).

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Answered: Problem 1. Determine whether the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Problem 1. Determine whether the following vectors are linearly independent in R³: (i) (2, 1, -2), (3, 2, -2) and (2,2,0); (ii) (2, 1,-2), (-2,-1,2) and (4, 2, 4); (iii) (1, 1, 3) and (0, 2, 1).