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I am looking for 2 short, but rigorous proofs for these two linear algebra

statements. I will have to expose these proofs orally as part of a final exam. I understand well the statements, however, I don't know where to start the proofs. Thanks a lot !

linear algebra proofs.PNG

linear algebra proofs.PNG

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10: We will make use of the fact that a diagonalizable... View the full answer

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