(A³)-¹= (A-¹)³ where A is a square matrix and|A| ≠ 0
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Step-by-step explanation:
A²=I
A.A=I
Post multiplying byA
−1
both the sides
A.(AA
−1
)=I.A
−1
AI=IA
−1
Hence, A
−1
=A
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