If A and B are invertible matrices of the same order, then (AB)-1=B-1 A-1.
If A and B are invertible matrices of the same order, then (AB)-1=B-1 A-1. Correct Answer True
The given statement is true. (AB) (AB)-1=I (Using the formula AA-1=I) Multiplying both sides by A-1, we get A-1 (AB) (AB)-1=A-1 I (A-1 A)B(AB)-1=A-1 IB(AB-1)=A-1 B(AB-1)=A-1 ⇒B-1 B(AB-1)=B-1 A-1 (AB-1)=B-1 A-1
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Feb 20, 2025