B = [(1, 2, 0)T, (1, 1, 1)T, (1, 0, 0T)] is an ordered basis for 3. a) Find [v]B, the coordinates of v with respect to B, for v = (2, 0, 2)T and also v = (5, 2, −3)T. b) Find v if [v]B = (1, −2, 5)T.

B = [(1, 2, 0)T, (1, 1, 1)T, (1, 0, 0T)] is an ordered basis for 3. a) Find [v]B, the coordinates of v with respect to B, for v = (2, 0, 2)T and also v = (5, 2, −3)T. b) Find v if [v]B = (1, −2, 5)T.

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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