T5. Let V = {(a, b, c, d) : a + 3b — 2c = 0}. Show that (-3, 1, 0, 0), (2,0, 1, 0), and (0, 0, 0, 1)¹ form a basisof V.

5) Given that Let, So we have .Hence Noted that .Because Hence basis for subspace V of is

Answered: 5. Let V = {(a, b, c, d): a + 3b-2c=0}.…

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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5. Let V = {(a, b, c, d): a + 3b-2c=0}. Show that (-3, 1, 0, 0), (2,0, 1, 0), and (0, 0, 0, 1) form a basis of V.