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 = -3 A. P= 4 -6 Choose the correct values of P and D below that result in the decoupled system y' = Dy when x(t) = Py(t). c. P= 1 1 -1 D= -7 0 0 -2 [17 D= -7 0-2 GENDER Write the equation x(t) = Py(t) using the matrix P found above. x(t) = y(t) OB. P= 4 1 OD. P= D= -2 0 0-7 [11][1 D= 4 -2 0-7

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