The matrix A is factored in the form PDP^(-1). Use Theorem 5 in Section 5.3 to find the eigenvalues and corresponding eigenvectors of A.
Theorem 5 is Diagonization Theorem.
A = [3 0 0 ; -3 4 9 ; 0 0 3] = [3 0 -1 ; 0 1 -3 ; 1 0 0] [3 0 0 ; 0 4 0 ; 0 0 3] [0 0 1 ; -3 1 9 ; -1 0 3]
Semi-colons represent different rows.
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