Exercise 5.4.36

Answers

First observe that a one-dimensional T-invariant subspace is equivalent to a subspace spanned by an eigenvector. Second, V is the direct sum of some one-dimensional subspaces if and only if the set obtained by choosing one nonzero vector from each subspace forms a basis. Combining these two observation we get the result.

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2011-06-27 00:00
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