Question: B. Let V be an ndimensional 1wector space over 4C, and let T E EFF]. In your own words, give a sketch a proof that

B. Let V be an ndimensional 1wector space over
B. Let V be an ndimensional 1wector space over 4C, and let T E EFF]. In your own words, give a sketch a proof that the foJJowing two statements are equivalent: 1. V can be decomposed into a direct sum of two, nontrivial, Tinvariant subspaces U and W. 2. The Jordan form of T consists of more than one Jordan block. [4 marks]

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