1. Which of the following sets of vectors a = of R (n 2 3)? (a1, ... , an) in R* are subspaces (a) all a such that a, > 0; (b) all a such that a1 + 3a2 = a3; (c) all a such that az bos W (0) doe W ni boa %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 43EQ
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dedua bia
Y brus V dadt Exercises
1. Which of the following sets of vectors a = (a1, .
of R (n > 3)?
doub
(a) all a such that a1 > 0;
(b) all a such that a1 + 3a2
(c) all a such that a2
agedys sd W ba
jads avor.(0)
.., am) in R are subspaces
os W 3sl e
(0)-W W ba
a3;
až;
(d) all a such that aja2 =
%3D
0;
(e) all a such that az is rational.
Transcribed Image Text:dedua bia Y brus V dadt Exercises 1. Which of the following sets of vectors a = (a1, . of R (n > 3)? doub (a) all a such that a1 > 0; (b) all a such that a1 + 3a2 (c) all a such that a2 agedys sd W ba jads avor.(0) .., am) in R are subspaces os W 3sl e (0)-W W ba a3; až; (d) all a such that aja2 = %3D 0; (e) all a such that az is rational.
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