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MathsMediumMCQ2021 · 18 Mar Shift 2

Q71.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 ? (1) R is symmetric, transitive but not reflexive (2) R is reflexive, symmetric but not transitive (3) R is an equivalence relation (4) R is reflexive, transitive but not symmetric

What This Question Tests

This question tests the understanding of equivalence relations in the context of matrix similarity, requiring verification of reflexivity, symmetry, and transitivity.

Concepts Tested

Reflexive relationSymmetric relationTransitive relationEquivalence relation

📚 NCERT Sections This Tests

14.1 — In An N-Type Silicon, Which Of The Following Statement Is True:

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14.1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the dopants.

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