2 0 1. a. Given A = compute the following, 4 1 i. A b. ii....

 

Transcribed Image Text:

2 0 1. a. Given A = compute the following, 4 1 i. A b. ii. A-3 iii. A 2A+I - If a polynomial p(x) can be factored as a product of two lower degree polynomials p1(x) and p2(x) as p(x) = P1(x)p2(x) then it can be proved that p(A) = p (A)p2(A) for an arbitrary square matrix A. Verify this statement for polynomials p(x) = x-9, P(x) = x+3, P2(x) = x - 3. 2 0 1. a. Given A = compute the following, 4 1 i. A b. ii. A-3 iii. A 2A+I - If a polynomial p(x) can be factored as a product of two lower degree polynomials p1(x) and p2(x) as p(x) = P1(x)p2(x) then it can be proved that p(A) = p (A)p2(A) for an arbitrary square matrix A. Verify this statement for polynomials p(x) = x-9, P(x) = x+3, P2(x) = x - 3.