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A = \left[ \begin{array} { c c } { - 5 } & { - 3 } \\ { 2 } & { 0 } \end{array} \right] \text { and } I = \left[ \begin{array} { c c } { 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right] \text { prove that } A ^ { 3 } = 19 A + 30 I

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