Question: Let A be an invertible diagonalizable n n matrix and let b be an n-column of constant functions. We can solve the system f

Let A be an invertible diagonalizable n × n matrix and let b be an n-column of constant functions. We can solve the system f′ = Af + b as follows:
If g satisfies g′ = Ag (using Theorem 2), show that f = g - A-1b is a solution to f′ = Af + b.

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