Let W = {(a, b,c, d)| 5a – b = 0} be a subspace of R*. Then a basis for W is O {(1,5,0,0),(0,0,0,1)} O {(1,5,0,0),(0,0,1,0),(0,0,0,1)} O {(5,1,0,0),(0,0,1,0),(0,0,0,1)} O {(1,5,0,0)}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 82E
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Let W = {(a,b, c, d)| 5a – b = 0} be a subspace of R*. Then a basis for W is
O {(1,5,0,0),(0,0,0,1)}
{(1,5,0,0),(0,0,1,0),(0,0,0,1)}
{(5,1,0,0),(0,0,1,0),(0,0,0,1)}
O {(1,5,0,0)}
Let k be a real number. By using Cramer's rule, the solution of the following system is:
( 2х — 2у — 0
12x – 3y = 2k
Transcribed Image Text:ll touch ? 4:32 PM @ 86% docs.google.com 18 -18 * Let W = {(a,b, c, d)| 5a – b = 0} be a subspace of R*. Then a basis for W is O {(1,5,0,0),(0,0,0,1)} {(1,5,0,0),(0,0,1,0),(0,0,0,1)} {(5,1,0,0),(0,0,1,0),(0,0,0,1)} O {(1,5,0,0)} Let k be a real number. By using Cramer's rule, the solution of the following system is: ( 2х — 2у — 0 12x – 3y = 2k
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