Which of the following sets are thebase for E ? Explain the reason.a) S = {(1,1,0, 1), (1, –1, 1, –1), (0, –1, 1, 1), (1,0, –1, 1), (1,0, 0, 1)}b) Sz = {(-1,2,0, 1), (0, – 1,5, 1), (1, -1,0,2)}c) S3 = {(1, 1,0, 1), (1,1, 1, 1). (0. 1. 1.1), (1.0.1.1)}

Answered: Image /qna-images/answer/4c4ecb5a-7822-4b1c-bc37-939b626c99e4.jpg

Which of the following sets are the base for R ? Explain the reason. a) S = {(1,1,0, 1). (1, -1,1, –1), (0, –1, 1, 1), (1,0, – 1, 1), (1,0,0, 1)} b) S; = {(-1,2,0, 1), (0, – 1, 5, 1), (1, –1,0,2)} c) Sz = {(1,1,0, 1), (1, 1, 1, 1). (0. 1.1.1), (1.0.1, 1)} %3D

Which of the following sets are the base for R ? Explain the reason. a) S = {(1,1,0, 1). (1, -1,1, –1), (0, –1, 1, 1), (1,0, – 1, 1), (1,0,0, 1)} b) S; = {(-1,2,0, 1), (0, – 1, 5, 1), (1, –1,0,2)} c) Sz = {(1,1,0, 1), (1, 1, 1, 1). (0. 1.1.1), (1.0.1, 1)} %3D

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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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

Which of the following sets are the
base for E ? Explain the reason.
a) S = {(1,1,0, 1), (1, –1, 1, –1), (0, –1, 1, 1), (1,0, –1, 1), (1,0, 0, 1)}
b) Sz = {(-1,2,0, 1), (0, – 1,5, 1), (1, -1,0,2)}
c) S3 = {(1, 1,0, 1), (1,1, 1, 1). (0. 1. 1.1), (1.0.1.1)}

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