Let W be the set of all vectors in R² With second component equal to twice the first, that all vectors of the form (9,20) (a) Use the Test for a Subspace to show that W is a subspace of R². (6) Using the x-y plane to represent R² make a sketch of W.
Let W be the set of all vectors in R² With second component equal to twice the first, that all vectors of the form (9,20) (a) Use the Test for a Subspace to show that W is a subspace of R². (6) Using the x-y plane to represent R² make a sketch of W.
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 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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![Let W be the
set of all vectors in R²
With second component equal to twice the
first, that all vectors of the form (9,20)
(a) Use the Test for a Subspace to show
that W is a subspace of R².
(6) Using the
x-y plane to represent R²
a sketch of W.
make](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d410cd6-8fc6-4d13-8ff0-7a43ba3056bc%2Fcdc6c70d-a405-4190-8deb-ac6c4f5c82e1%2F1f4dulf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let W be the
set of all vectors in R²
With second component equal to twice the
first, that all vectors of the form (9,20)
(a) Use the Test for a Subspace to show
that W is a subspace of R².
(6) Using the
x-y plane to represent R²
a sketch of W.
make
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