uestion 1 are subspaces of Which OF The set of all vestors the following subrets of R? the Form OF ) La, b, 2) ") (a, b, c ), wmere ") (a, b, C), where c> o w) (b) and c) C = a+b none 23 are subspuces o e?? 6) Which The set of all vectorn of he form the following subicts OF OF ) (a.b,c), where ") (a, b,c), where iwi) (a,b,c), a =c =O C = -a b = 2a + I where iN) (4) ani () e) (i) and C) <) Which of the followny subsets of Pa are The set 3u bsets subspace Pa ? all of polynomials of the Form ) 9,x+ a,x + 9. where a, s 0 and ao = 0 ) 9,x+9,x + 9o IN) a, x2 + q, x +90 where 9o + 24, + 92= 2 where 9, = 290 iv) (4), Cb) and (C) v) (a) and 6)

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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uestion 1
are subspaces
of
Which
OF
The set of all vestors
the following
subrets
of R?
the Form
OF
) La, b, 2)
") (a, b, c ), wmere
") (a, b, C), where c> o
w) (b) and c)
C = a+b
none
23
are subspuces o e??
6) Which
The set of all vectorn of he form
the following subicts
OF
OF
) (a.b,c), where
") (a, b,c), where
iwi) (a,b,c),
a =c =O
C = -a
b = 2a + I
where
iN) (4) ani ()
e)
(i) and C)
<) Which of the followny subsets of Pa are
The set
3u bsets
subspace Pa ?
all
of
polynomials of the
Form
) 9,x+ a,x + 9. where a, s 0 and ao = 0
) 9,x+9,x + 9o
IN) a, x2 + q, x +90 where 9o + 24, + 92= 2
where 9, = 290
iv) (4), Cb) and (C)
v) (a) and 6)
Transcribed Image Text:uestion 1 are subspaces of Which OF The set of all vestors the following subrets of R? the Form OF ) La, b, 2) ") (a, b, c ), wmere ") (a, b, C), where c> o w) (b) and c) C = a+b none 23 are subspuces o e?? 6) Which The set of all vectorn of he form the following subicts OF OF ) (a.b,c), where ") (a, b,c), where iwi) (a,b,c), a =c =O C = -a b = 2a + I where iN) (4) ani () e) (i) and C) <) Which of the followny subsets of Pa are The set 3u bsets subspace Pa ? all of polynomials of the Form ) 9,x+ a,x + 9. where a, s 0 and ao = 0 ) 9,x+9,x + 9o IN) a, x2 + q, x +90 where 9o + 24, + 92= 2 where 9, = 290 iv) (4), Cb) and (C) v) (a) and 6)
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