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Back to Gauss-Jordan Reduction

Exercise 9

Avg difficulty 3.0

Decide whether each relation is an equivalence on the set of 2 ⁣× ⁣22\!\times\!2 matrices.

  • two matrices are related if they have the same entry in the first row and first column

  • two matrices are related if they have the same entry in the first row and first column, or the same entry in the second row and second column

Hefferon, Linear Algebra, Linear Systems, Gauss-Jordan Reduction, Exercise 9

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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.