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Start with A ∈ Mn*n(C) complex matrix of your choice. (If you use do not technology...

Start with A ∈ Mn*n(C) complex matrix of your choice. (If you use do not technology keep n <5)

Define W = span {I, A, A2, A3}

a) Show that W is a Vector Space.

b) Find a basis for Your W.

c) Check if your A can be diagonalized, if so how does that affect your answers above

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