Question: (7) {6 marks) Let T E [C5] satisfy T4 = 2T2. Show that 8 if. tr[T} { 8. (8) ['3' marks} Let V be a

(7) {6 marks) Let T E [C5] satisfy T4 = 2T2. Show that 8 if. tr[T} { 8. (8) ['3' marks} Let V be a veeter space, and suppose U1, U2 and U3 are subspaces ef V such that dim{U1] = 2dim[U2} = 3dim{U3}, U1 F'I U3 = {D}, U: 99 {0} Determine the smallest possible value of dim')

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