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If A^{2}-3A=I, then A^{-1}=.....

Question

If $A^{2} - 3 A = I, t h e n A^{- 1}$ =.....

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Owen Discussed

A^{2} - 3 A = I, t h e n A^{- 1}

=.....

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Text solutionVerified

Given that

A^{2} - 3 A = I

multiply both sides

A^{- 1}

on both sides

A^{- 1} (A^{2} - 3 A) = I A^{- 1}

∴

A^{- 1} = A - 3 A^{- 1} . A

= A - 3 I

A^{- 1} = A - 3 I

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