Question: Let n > 2. Define TEC(F ) by T(31. ..., )= ((n - 1)1, (n - 2)12,..., In-1, ). 1) Find all eigenvalues and the

Let n > 2. Define TEC(F" ) by T(31. ..., )= ((n - 1)1, (n - 2)12,..., In-1, "). 1) Find all eigenvalues and the corresponding eigenspaces of T'. 2) Find all invariant subspaces of T. 3) Is T diagonalizable? Why

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