Mathematics · Linear Algebra
Define a relation R over a class of n × n real matrices A and B as 'ARB iff there exists a non-singular matrix P such that PAP-1 = B'. Then which of the following is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1R is symmetric, transitive but not reflexive
- 2R is reflexive, symmetric but not transitive
- 3R is an equivalence relation✓
- 4R is reflexive, transitive but not symmetric
Correct answer
R is an equivalence relation
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