Question: Explain why the following statement is nonsense. Two linear operators F and G on a vector space V are said to be similar if there

  1. Explain why the following statement is nonsense. 

  3. Two linear operators F and G on a vector space V are said to be similar if there exists an invertible linear operator T on V such that G = T-1 ◦ F ◦ T. If F is similar to a diagonal matrix, then any similar matrix G is also similar to a diagonal matrix.

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