Question: Can anyone help me with this? 8. Let V be an n-dimensional vector space over C, and let Te S(V). In your own words, give

Can anyone help me with this?

8. Let V be an n-dimensional vector space over C, and let Te S(V). In your own words, give a sketch a proof that the following two statements are equivalent: 1. V can be decomposed into a direct sum of two, non-trivial, T-invariant subspaces U and W. 2. The Jordan form of T consists of more than one Jordan block. [4 marks]

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