Math miscellaneousEasy
Question
If A2 - A + I = 0, then the inverse of A is
Options
A.A + I
B.A
C.A - I
D.I - A
Solution
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.
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.
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