Let W = {(a, b, c, d)| a – 5 b = 0 } be a subspace of R. Then a basis for W is %3D O {(1,5,0,0)} 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).(0,0,0,1)}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
icon
Related questions
Question
ONone of these
the above is true
Let W = {(a, b, c, d)| a – 5 b = 0} be a subspace of R. Then a basis for W is
O {(1,5,0,0)}
O {(1,5,0,0),(0,0,1,0),(0,0,0,1)
{(5,1,0,0),(0,0,1,0,0,00,1)}
{(1,5,0,0).(0,0,0,1)}
[1 2 3
linint of A is given by:
Transcribed Image Text:ONone of these the above is true Let W = {(a, b, c, d)| a – 5 b = 0} be a subspace of R. Then a basis for W is O {(1,5,0,0)} O {(1,5,0,0),(0,0,1,0),(0,0,0,1) {(5,1,0,0),(0,0,1,0,0,00,1)} {(1,5,0,0).(0,0,0,1)} [1 2 3 linint of A is given by:
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Vector Space
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning