Question: For a finite-dimensional space V and Te End(V ), prove that there is a maximal T -invariant subspace M such that T IM is diagonalizable.

For a finite-dimensional space V and Te End(V ), prove that there is a maximal T -invariant subspace M such that T IM is diagonalizable. (By maximal, we mean that any T -invariant subspace U with T lu diagonalizable has U C M .)

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