Ex1.1a: In two dimensions, 0 = [0₁, 0₂] can define a hyperplane. Let 0 = [1, 2]. Give a vector that lies on the hyperplane given by the set of all x € R² such that 0¹ x = 0: Enter your answer as a Python list of numbers. Vector on hyperplane: [0, 0] 100.00% Submit View Answer Ask for Help You have infinitely many submissions remaining. Ex1.1b. Using the same hyperplane, determine a vector that is normal to the hyperplane.
Ex1.1a: In two dimensions, 0 = [0₁, 0₂] can define a hyperplane. Let 0 = [1, 2]. Give a vector that lies on the hyperplane given by the set of all x € R² such that 0¹ x = 0: Enter your answer as a Python list of numbers. Vector on hyperplane: [0, 0] 100.00% Submit View Answer Ask for Help You have infinitely many submissions remaining. Ex1.1b. Using the same hyperplane, determine a vector that is normal to the hyperplane.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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Please solve 1.1B with an explanation. Thank you.
![1.1) Through origin
In de dimensions, any vector E Rd can define a hyperplane. Specifically, the hyperplane through the origin associated with
is the set of all vectors & € Rd such that 0¹x
=
0. Note that this hyperplane includes the origin, since x = 0 is in the set.
0¹x= 0
- Negative Side
Vector on hyperplane: [0, 0]
Submit View Answer Ask for Help
You have infinitely many submissions remaining.
+ Positive Side
100.00%
normal
Ex1.1a: In two dimensions, 0 = [0₁, 02] can define a hyperplane. Let 0 = [1, 2].
by the set of all x € R² such that OT x = 0:
Enter your answer as a Python list of numbers.
hyperplane
a vector that
Ex1.1b. Using the same hyperplane, determine a vector that is normal to the hyperplane.
on the hyperplane given](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff72dbd1a-89a3-4722-b0fb-ff5be11bbf8a%2Ff7069f5c-2f33-45f9-9cf0-68ca8c5e1dd7%2F0icur4b_processed.png&w=3840&q=75)
Transcribed Image Text:1.1) Through origin
In de dimensions, any vector E Rd can define a hyperplane. Specifically, the hyperplane through the origin associated with
is the set of all vectors & € Rd such that 0¹x
=
0. Note that this hyperplane includes the origin, since x = 0 is in the set.
0¹x= 0
- Negative Side
Vector on hyperplane: [0, 0]
Submit View Answer Ask for Help
You have infinitely many submissions remaining.
+ Positive Side
100.00%
normal
Ex1.1a: In two dimensions, 0 = [0₁, 02] can define a hyperplane. Let 0 = [1, 2].
by the set of all x € R² such that OT x = 0:
Enter your answer as a Python list of numbers.
hyperplane
a vector that
Ex1.1b. Using the same hyperplane, determine a vector that is normal to the hyperplane.
on the hyperplane given
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