Determine whether the set B is a basis for the space V.(a) B = {(1,2,3), (2,3, 4), (4, 5, 6)} and V is R³[1 2 3 4(b) B = {(1,2,3), (1, 1, 1)} and V is the column space of the matrix 2 3 4 53 4 5 6[i 2 3 4(c) B = {(1,2, 3), (1, 1, 1)} and V is the column space of the matrix 2 3 4 53 3 5 6

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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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Determine whether the set B is a basis for the space V.
(a) B = {(1,2,3), (2,3, 4), (4, 5, 6)} and V is R³
[1 2 3 4
(b) B = {(1,2,3), (1, 1, 1)} and V is the column space of the matrix 2 3 4 5
3 4 5 6
[i 2 3 4
(c) B = {(1,2, 3), (1, 1, 1)} and V is the column space of the matrix 2 3 4 5
3 3 5 6

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