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Maths-

General

Easy

Question

If A² – A + I = 0, then the inverse of A is

A + I
A
A – I
I – A

hint Hint:

$G i v e n comma space A squared minus A plus I equals 0 A squared minus A equals I o r space A left parenthesis I minus A right parenthesis equals I A to the power of negative 1 end exponent equals I minus A$

The correct answer is: I – A

$G i v e n comma A squared minus A plus I equals 0 comma space t h e n space w e space n e e d space t o space f i n d space t h e space i n v e r s e space o f space m a t r i x space A.$

Hence, the inverse of A is I-A.

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