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    Steps on diagonalizing a given matrix

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    1. Diagonalize the matrix A for
    A=[-4 -1 ]
    [5 2 ]

    2. Suppose the y'=Ay for the given A. Find a solution for the system of ordinary differential equations with initial condition

    y(0)=[0]
    [2]

    A=[-3 1]
    [ 1 -3]

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    Solution Preview

    (Please see the attached file for the complete solution)
    If the matrix A is diagonalizable, then it can be written as D=P-1AP where A is ...

    Solution Summary

    This solution gives detailed steps on how to diagonalize a given Matrix.

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