H2. Write the linear system d = 5x + 4y |tx (1): d dy(t) = x+2y as a matrix equation and find the eigenvalues and eigenvectors. Find a change of co-ordinates the system diagonalises in the new coordinates. Finally, solve the corresponding system and sketch the phase portrait in the new coordinates.
H2. Write the linear system d = 5x + 4y |tx (1): d dy(t) = x+2y as a matrix equation and find the eigenvalues and eigenvectors. Find a change of co-ordinates the system diagonalises in the new coordinates. Finally, solve the corresponding system and sketch the phase portrait in the new coordinates.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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can you provide explanations
![H2. Write the linear system
d
|tx (1):
d
dy(t)
= 5x + 4y
= x + 2y
as a matrix equation and find the eigenvalues and eigenvectors. Find a change
of co-ordinates the system diagonalises in the new coordinates. Finally, solve the
corresponding system and sketch the phase portrait in the new coordinates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4061eb31-6ba2-4539-9b51-dd7b05481e7e%2F60da9bf7-bcae-48e4-a7ce-66d0b8b6583a%2Fc8vmq84_processed.png&w=3840&q=75)
Transcribed Image Text:H2. Write the linear system
d
|tx (1):
d
dy(t)
= 5x + 4y
= x + 2y
as a matrix equation and find the eigenvalues and eigenvectors. Find a change
of co-ordinates the system diagonalises in the new coordinates. Finally, solve the
corresponding system and sketch the phase portrait in the new coordinates.
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