Question: [5 marks] Upload your solution to this question AND select the correct answer below for full marks. Let V be a finite-dimensional vector space over

[5 marks] Upload your solution to this question AND select the

[5 marks] Upload your solution to this question AND select the correct answer below for full marks. Let V be a finite-dimensional vector space over a field F, and let T : V V be a linear operator on V. Also, let XEV, x = 0, and let W be the T-cyclic subspace of V generated by x. Is the following statement true or false? If true, prove it. If false, disprove it by giving an explicit counterexample. TRUE - If x is an eigenvector of T, then dim(W) = 1

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