Question: 13. Prove that a 2 x 2 matrix A always satisfies its own characteristic equa- tion. That is, if 2 +al + 8 = 0

13. Prove that a 2 x 2 matrix A always satisfies its own characteristic equa- tion. That is, if 2 +al + 8 = 0 is the characteristic equation associated with A, then the matrix A + aA + BI is the 0-matrix

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