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For full marks, you must upload a detailed written solution AND enter your answer below. Let T be the linear operator on M5x5 (C) defined

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For full marks, you must upload a detailed written solution AND enter your answer below. Let T be the linear operator on M5x5 (C) defined by T(A) = iA'. (a) Find the minimal polynomial mt(x) of T. Enter the degree of mt(x) below. Then enter its coefficients. deg mt(x) = mt(x) = 75 + + x + x + x + Note that the degree of mt(x) may not be 5. Enter 0 for the coefficient of xk if k > deg mt(x). If some coefficients are imaginary, use 'i', for instance if a coefficient is 3i, enter 3i. (b) Is T diagonalizable? - Justify your

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