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Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesGeneralEasy2 minPYQ_2005

MathematicsEasysingle choice

If $A^{2} - A + I = 0$ , then the inverse of $A$ is

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Solution:

Given $A^{2} - A + I = 0$ $A^{- 1} A^{2} - A^{- 1} A + A^{- 1} - I = A^{- 1} \cdot 0$ (Multiplying $A^{- 1}$ on both sides) $\Rightarrow A - I + A^{- 1} = 0$ or $A^{- 1} = I - A$

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:General

⏱ 2mℹ️ Source: PYQ_2005

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