For matrix A below, make a change of variables that decouples the equation x'=Ax. Write the equation x(t) = Py(t) that leads to the uncoupled system y' = Dy, specifying P and D. A= 12 -4 7 1
For matrix A below, make a change of variables that decouples the equation x'=Ax. Write the equation x(t) = Py(t) that leads to the uncoupled system y' = Dy, specifying P and D. A= 12 -4 7 1
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 25CM: Use a determinant to find an equation of the line passing through the points (1,4) and (5,2)
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![For matrix A below, make a change of variables that decouples the equation x'=Ax. Write the equation x(t) = Py(t)
that leads to the uncoupled system y' = Dy, specifying P and D.
A=
12 -4
7 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c353fc1-8a7a-4a6c-a8d1-90f32cf644de%2F4f8c442f-2eab-4f22-b15f-57d45ab3659f%2Fsidwpx_processed.png&w=3840&q=75)
Transcribed Image Text:For matrix A below, make a change of variables that decouples the equation x'=Ax. Write the equation x(t) = Py(t)
that leads to the uncoupled system y' = Dy, specifying P and D.
A=
12 -4
7 1
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