Show that ~ is an equivalence relation. Show the following properties hold:

a) ~ is reflexive: A~A for all Mmxn(F).

b) ~ is symmetric: if A~B then also B~A

c) ~ is transitive: given A,B,C such that A~B and B~C then also A~C

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- Sep 29th 2009, 11:15 AMamm345~ how is this an equivalence relation?
Show that ~ is an equivalence relation. Show the following properties hold:

a) ~ is reflexive: A~A for all Mmxn(F).

b) ~ is symmetric: if A~B then also B~A

c) ~ is transitive: given A,B,C such that A~B and B~C then also A~C - Sep 29th 2009, 11:17 AMpomp