Show whether or not the given set S of vectors a) span V, and b) is linearly independent 1- V = R³, S = {(6, −3, 2), (1, 1, 1), (1, −8, −1)} 2- V = P3(R), S = {2x − x³,1+x+x²,3,x} - 3- V = M₂ (R) and S = { [2 (18160 04
Show whether or not the given set S of vectors a) span V, and b) is linearly independent 1- V = R³, S = {(6, −3, 2), (1, 1, 1), (1, −8, −1)} 2- V = P3(R), S = {2x − x³,1+x+x²,3,x} - 3- V = M₂ (R) and S = { [2 (18160 04
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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Transcribed Image Text:Show whether or not the given set S of vectors a) span V, and b) is linearly independent
1- V = R³, S = {(6, −3, 2), (1, 1, 1), (1, −8, −1)}
2- V = P3(R), S = {2x − x³,1+x+x²,3,x}
-
3- V = M₂(R) and S = {
[2
(18160
04
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