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
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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)}
Transcribed Image Text: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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