Find the 2 x 2 matrix P such that Po is the orthogonal projection of in R2 onto the line consisting of all [1] scalar multiples of the vector Hint: If you don't know a simple formula for this, you can always consider what happens [18] and A after being projected. to the standard basis vectors 4 -2] Op-s Op- [22] 2p= - 13 1[11] P= =
Find the 2 x 2 matrix P such that Po is the orthogonal projection of in R2 onto the line consisting of all [1] scalar multiples of the vector Hint: If you don't know a simple formula for this, you can always consider what happens [18] and A after being projected. to the standard basis vectors 4 -2] Op-s Op- [22] 2p= - 13 1[11] P= =
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
![Find the 2 x 2 matrix P such that Po is the orthogonal projection of in R2 onto the
line consisting of all
[1]
scalar multiples of the vector
Hint: If you don't know a simple formula for this, you can always consider what happens
[18]
and
A
after being projected.
to the standard basis vectors
4 -2]
Op-s
Op- [22]
2p=
- 13
1[11]
P=
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F138325ff-863f-4d67-b6ba-38d19ab8b9f3%2F070899fc-10fc-43d7-83d6-f706b62c60c9%2Flbpgu6c_processed.png&w=3840&q=75)
Transcribed Image Text:Find the 2 x 2 matrix P such that Po is the orthogonal projection of in R2 onto the
line consisting of all
[1]
scalar multiples of the vector
Hint: If you don't know a simple formula for this, you can always consider what happens
[18]
and
A
after being projected.
to the standard basis vectors
4 -2]
Op-s
Op- [22]
2p=
- 13
1[11]
P=
=
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