Part 1: 4) A certain experiment produces the data (0,7), (1,4), (2,−1). Describe the model that produces a least-squares fit of these points by a function of the form y=Acosx+Bsinx. *Show All Your Steps Part 2: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. - 6 5) [1¹/26 - 9 ] 7
Part 1: 4) A certain experiment produces the data (0,7), (1,4), (2,−1). Describe the model that produces a least-squares fit of these points by a function of the form y=Acosx+Bsinx. *Show All Your Steps Part 2: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. - 6 5) [1¹/26 - 9 ] 7
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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Hello. Please answer the attached
*If you answer the question and its 2 parts correctly & show all of your work, I will give you a thumbs up. Thanks.
![Part 1:
4) A certain experiment produces the data (0,7), (1,4), (2,−1).
Describe the model that produces a least-squares fit of these
points by a function of the form y=Acosx+Bsinx.
*Show All Your Steps
Part 2:
Orthogonally diagonalize the matrix, giving an
orthogonal matrix P and a diagonal matrix D.
12 - 6
5) [_
[¹2²-9]
6
7
* Please show all you steps for
both parts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1223c4c6-4ebb-4911-bc0d-edb37c26385f%2F3f8a9521-b559-472f-8073-662a9ba6de41%2Fprk2cn_processed.png&w=3840&q=75)
Transcribed Image Text:Part 1:
4) A certain experiment produces the data (0,7), (1,4), (2,−1).
Describe the model that produces a least-squares fit of these
points by a function of the form y=Acosx+Bsinx.
*Show All Your Steps
Part 2:
Orthogonally diagonalize the matrix, giving an
orthogonal matrix P and a diagonal matrix D.
12 - 6
5) [_
[¹2²-9]
6
7
* Please show all you steps for
both parts.
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Step 1: Analysis and Information.
VIEWStep 2: Part 1 - Formation of the system of equations.
VIEWStep 3: Part 1 - Product of transpose of C and C
VIEWStep 4: Part 1 - Inverse of the product of transpose of C and C
VIEWStep 5: Part 1 - Least square approximation
VIEWStep 6: Part 2 - Find the eigen values
VIEWStep 7: Part 2 - Eigen vector corresponds to eigenvalue 16.
VIEWStep 8: Part 2 - Eigen vector corresponds to eigenvalue 3.
VIEWStep 9: Part 2 - Matrix P and D
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