Let H= {*] 1}. * : 8x² + 6y² s which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples-two vectors, and a vector and a scalar-to show that H is not a subspace of R² H is not a subspace of R² because the two vectors show that H (Use a comma to separate vectors as needed.) closed under
Let H= {*] 1}. * : 8x² + 6y² s which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples-two vectors, and a vector and a scalar-to show that H is not a subspace of R² H is not a subspace of R² because the two vectors show that H (Use a comma to separate vectors as needed.) closed under
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Second image is an example, only do problem in first image
![{*]:0²
: 8x² + 6y² ≤1
, which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples-two vectors, and a vector and a scalar-to show that H is not a subspace of R².
Let H=
H is not a subspace of R² because the two vectors
(Use a comma to separate vectors as needed.)
show that H
closed under](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc7deb2c-0862-415e-88b2-023e0d274874%2Fbaa93407-c782-4b06-93eb-3ab7f9748577%2Fa7om72i_processed.png&w=3840&q=75)
Transcribed Image Text:{*]:0²
: 8x² + 6y² ≤1
, which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples-two vectors, and a vector and a scalar-to show that H is not a subspace of R².
Let H=
H is not a subspace of R² because the two vectors
(Use a comma to separate vectors as needed.)
show that H
closed under
![* {;] +²+7+)}.*
4x² + y²
Let H=
which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples-two vectors, and a vector and a scalar-to show that H is not a subspace of R².
H is not a subspace of R² because the two vectors
NI→
0
show that H is not closed under addition.
(Use a comma to separate vectors as needed.)
H is not a subspace of R² because the scalar 3 and the vector 1 show that H is not closed under addition.
That's incorrect.
Correct answers:
0.33
, is not, scalar multiplication.
-0.67
Your answers: 1, is not, addition.
Similar question
Next question
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc7deb2c-0862-415e-88b2-023e0d274874%2Fbaa93407-c782-4b06-93eb-3ab7f9748577%2F87it447l_processed.png&w=3840&q=75)
Transcribed Image Text:* {;] +²+7+)}.*
4x² + y²
Let H=
which represents the set of points on and inside an ellipse in the xy-plane. Find two specific examples-two vectors, and a vector and a scalar-to show that H is not a subspace of R².
H is not a subspace of R² because the two vectors
NI→
0
show that H is not closed under addition.
(Use a comma to separate vectors as needed.)
H is not a subspace of R² because the scalar 3 and the vector 1 show that H is not closed under addition.
That's incorrect.
Correct answers:
0.33
, is not, scalar multiplication.
-0.67
Your answers: 1, is not, addition.
Similar question
Next question
X
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
