Recall that p(x) = x - 5x + 6 is called a polynomial, or more specifically,...

 

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Recall that p(x) = x - 5x + 6 is called a polynomial, or more specifically, a polynomial over R, where the coefficients are elements of R and x R. Also, think of the method of solving, and solutions of, x-5x+6: = 0. We would like to define the analogous situation for 2 2 matrices. First define where A is a 2 x 2 matrix p(A) = A - 5A + 6I. Discuss the method of solving and the solutions of A 5A +61= 0. - Recall that p(x) = x - 5x + 6 is called a polynomial, or more specifically, a polynomial over R, where the coefficients are elements of R and x R. Also, think of the method of solving, and solutions of, x-5x+6: = 0. We would like to define the analogous situation for 2 2 matrices. First define where A is a 2 x 2 matrix p(A) = A - 5A + 6I. Discuss the method of solving and the solutions of A 5A +61= 0. -