Let M(n, R) denote the set of all n × n matrices over R. Define a relation on M(n, R) as follows: for A, B M(n, R), A B iff there exists an invertible matrix P such that P 1AP = B. Show that is an equivalence relation.

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Let M(n, R) denote the set of all n × n matrices over R. Define a relation on M(n, R) as follows: for A, B M(n, R), A B iff there exists an invertible matrix P such that P 1AP = B. Show that is an equivalence relation.

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Akash Girde 7th Nov, 2020

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Anuj More 8th Nov, 2020

Dear candidate,

Kindly know that is a long mathematical question. We can't prove the sum because we are limited by our answering options. You can search the question on internet to get a better understanding of this problem through detailed step by step equations. There are various portals on internet which will make this question easy for you to understand.

Thanks.

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