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)
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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
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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