Prove that there exists an invertible matrix

Reference no: EM133387338

Question: Let A ∈ R^3x3 be such that there is no invertible P ∈ R^3x3 such that P^-1AP is upper triangular. Prove that there exists an invertible matrix Q ∈ C^3x3 such that Q^-1AQ is diagonal.

Reference no: EM133387338

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