Let "a" be a 3x3 matrix such that a² - 5a + 7i = 0.
Statement 1: a⁻¹ = (1/7) (5i - a)
Statement 2: The polynomial a³ - 2a² - 3a + 1 can be reduced to 5(a - 4).
Then, what is the next step in solving this problem?