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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. 5 - 1 A = Choose the correct values of P and D below that result in the decoupled system y' = Dy when x(t) = Py(t). -3 1 4 0 11 2 0 в. Р3 3 1 O A. P= D= -11 0 2 0 4 2 0 1 4 0 D= 0 4 Oc. P= O D. P= D= 3 1 0 2 Write the equation x(t) = Py(t) using the matrix P found above. x(t) = y(t)

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. 5 - 1 A = Choose the correct values of P and D below that result in the decoupled system y' = Dy when x(t) = Py(t). -3 1 4 0 11 2 0 в. Р3 3 1 O A. P= D= -11 0 2 0 4 2 0 1 4 0 D= 0 4 Oc. P= O D. P= D= 3 1 0 2 Write the equation x(t) = Py(t) using the matrix P found above. x(t) = y(t)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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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. %3D - 1 A = 3 1 Choose the correct values of P and D below that result in the decoupled system y' = Dy when x(t) = Py(t). %3D - 3 1 4 0 1 1 2 0 O A. P= D = В. Р- D= - 1 1 0 2 3 1 0 4 1 - 1 2 0 1 1 4 0 Ос. Р3 1 D = 3 O D. P= D= 0 4 3 1 0 2 Write the equation x(t) = Py(t) using the matrix P found above. x(t) =y(t)
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. %3D - 1 A = 3 1 Choose the correct values of P and D below that result in the decoupled system y' = Dy when x(t) = Py(t). %3D - 3 1 4 0 1 1 2 0 O A. P= D = В. Р- D= - 1 1 0 2 3 1 0 4 1 - 1 2 0 1 1 4 0 Ос. Р3 1 D = 3 O D. P= D= 0 4 3 1 0 2 Write the equation x(t) = Py(t) using the matrix P found above. x(t) =y(t)
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