First slide

Applications of determinant

Question

Let $A^{2} - A + I = O$ then inverse of A is

Moderate

A

$I - A$
B

$A - I$
C

$A + I$
D

A

Solution

$A^{2} - A + I = 0 \Rightarrow I = A - A^{2} = A (I - A)$ .
Thus, $A^{- 1} = I - A$ .

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