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Back to Gauss-Jordan Reduction

Exercise 12

Avg difficulty 3.0

Consider the set of students in a class. Which of the following relationships are equivalence relations? Explain each answer in at least a sentence.

  • Two students x,yx,y are related if xx has taken at least as many math classes as yy.

  • Students x,yx,y are related if they have names that start with the same letter.

Hefferon, Linear Algebra, Linear Systems, Gauss-Jordan Reduction, Exercise 12

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.