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In the set of all 3×3 real matrices a relation is defined as follows. A matrix A is related to a matrix B if and only if there is a non-singular 3×3 matrix P such that B = P–1AP. This relation is (A) Reflexive, Symmetric but not Transitive (B) Reflexive, Transitive but not Symmetric (C) Symmetric, Transitive but not Reflexive (D) an Equivalence relation

In the set of all 3×3 real matrices a relation is defined as follows. A matrix A is related to a matrix B if and only if there is a non-singular 3×3 matrix P such that B = P–1AP. This relation is
(A) Reflexive, Symmetric but not Transitive (B) Reflexive, Transitive but not Symmetric
(C) Symmetric, Transitive but not Reflexive (D) an Equivalence relation

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2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
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Vikas TU
14149 Points
3 years ago
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Dear student 
Please refer the clear image , 
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