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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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