12. Which of the following subsets of R² are subspaces? Give a geometric interpretation whenever possible. (a) H = {[*] *x ≥ 0} (b) H = {[2] la € R} = {[*]FER} (c) H= =

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 4AEXP
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12. Which of the following subsets of R2 are subspaces? Give a geometric interpretation
whenever possible.
(a) H
-{]->0}
I
(b) #-{[2] ER}
Η
=
(c) Η
{[2] ZER}
(4) #-{[*]lv ²-}
H =
=
Transcribed Image Text:12. Which of the following subsets of R2 are subspaces? Give a geometric interpretation whenever possible. (a) H -{]->0} I (b) #-{[2] ER} Η = (c) Η {[2] ZER} (4) #-{[*]lv ²-} H = =
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