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SOLUTION TO AIEEE-2005 - FIITJEE

SOLUTION TO AIEEE-2005 MATHEMATICS 1. If A2 – A + I = 0, then the inverse of A is (1) A + I (2) A (3) A – I (4) I – A 1. (4) Given A2 – A + I = 0 A–1A2 – A–1A + A–1 – I = A–1⋅0 (Multiplying A–1 on both sides) ⇒ A - I + A-1 = 0 or A–1 = I – A. 2. If the cube roots of unity are 1, ω, ω2 then the roots of the equation