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यदि किन्ही दो वर्ग आव्यूहों के लिए AB=...

यदि किन्ही दो वर्ग आव्यूहों के लिए `AB=BA` हो तो गणितीय आगम से सिद्ध कीजिए कि :
`(AB)^(n)=A^(n)B^(n)`

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If AB= BA for any two square matrices , then prove by mathematical induction that (AB)^(n)=A^(n)B^(n) .

If A and B are square matrices of the same order such that AB=Ba , then prove by inducation that AB^(n)=B^(n)A . Further , prove that (AB)^(n)=A^(n)B^(n) for all n in N .

If A and B are square matrices of the same order such that AB = BA, then prove by induction that AB^(n)=B^(n)A . Further, prove that (AB)^(n)=A^(n)B^(n) for all n in N .

If A and B are square matrices of the same order such that AB = BA, then prove by induction that AB^(n)=B^(n)A . Further, prove that (AB)^(n)=A^(n)B^(n) for all n in N .