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[" If AB = BA for any two square matrice...

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

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

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If A and B are two square matrices of the same order, then AB=BA .

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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 .

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 inducation that AB^(n)=B^(n)A . Further , prove that (AB)^(n)=A^(n)B^(n) for all n in N .