Let a be a 3 x 3 matrix such that a² - 5a + 7i = 0. Statement-1: a⁻¹ = ?. Statement-2: The polynomial a³ - 2a² - 3a + i can be reduced to 5(a - 4i). Then
1. ( a^{-1} = frac{1}{5}(5a - 7I) )
2. ( a^{-1} = frac{1}{5}(5a - 7I) )
3. ( a^{-1} = 5(a - 4I) )
4. ( a^{-1} ) cannot be determined from the given information.
