If \( A \) is a square matrix such that \( A^{2}=I \), then \( A^{-1}

1.	If \( A \) is a square matrix such that \( A^{2}=I \), then \( A^{-1} \) is
Answer» A ² =I A.A=I Post multiplying by A ⁻¹ both the sides A.(AA⁻¹ )=I.A ⁻¹ AI=IA⁻¹ Hence, A ⁻¹ =A

If \( A \) is a square matrix such that \( A^{2}=I \), then \( A^{-1} \) is

Answer»

A ² =I

A.A=I

Post multiplying by A ⁻¹ both the sides

A.(AA⁻¹ )=I.A ⁻¹

AI=IA⁻¹

Hence, A ⁻¹ =A

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If \( A \) is a square matrix such that \( A^{2}=I \), then \( A^{-1} \) is

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