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For each matrix below, you are given all eigenvalues of the matrix. Indicate if the matrix is diagonalizable with T or F.
If the matrix is diagonalizable, provide a P and a diagonal matrix D such that A = PDP⁻¹.
If the matrix is not diagonalizable, then write 0 for all entries for both matrices.
A ={[-8 -5 6], [5 3 -5], [-6 -5 4]}.
This matrix has eigenvalues λ = -2, 3.
A) This matrix is diagonalizable
B) The P matrix would be ____ and this would correspond to the D matrix ____.

Sagot :

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