Question: (a) Use Exercise 10.3.20 to prove that the geometric matrix series converges whenever p(A) (b) Prove that the sum is (I - A)-1. How do

(a) Use Exercise 10.3.20 to prove that the geometric matrix series
(a) Use Exercise 10.3.20 to prove that the geometric matrix

converges whenever p(A) (b) Prove that the sum is (I - A)-1. How do you know I - A is invertible?

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