Question: For the matrix A , find (if possible) a nonsingular matrix P such that P 1 AP is diagonal. (If not possible, enter IMPOSSIBLE.) A

For the matrixA, find (if possible) a nonsingular matrixPsuch thatP1APis diagonal. (If not possible, enter IMPOSSIBLE.)

A=2 0 0

2 2 4

4 0 2

P=

Verify thatP1APis a diagonal matrix with the eigenvalues on the main diagonal.P1AP=

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