1. Consider the following subspaces of R2. Find a basis and determine the dimension of the given W. y= ( 1 2 ) (a) W = {y € R² | (b) W = {2 € R² | y = ( ö 02 1 1 0 2 x, for rЄR² x, for y Є R²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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1. Consider the following subspaces of R2. Find a basis and determine the dimension of the given W.
y= ( 1 2 )
(a) W = {y € R² |
(b) W = {2 € R² | y
=
(
ö
02
1 1
0 2
x, for rЄR²
x, for y Є R²
Transcribed Image Text:1. Consider the following subspaces of R2. Find a basis and determine the dimension of the given W. y= ( 1 2 ) (a) W = {y € R² | (b) W = {2 € R² | y = ( ö 02 1 1 0 2 x, for rЄR² x, for y Є R²
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