Question: Show that each is not an equivalence on the set of 22 matrices. (a) Two matrices A; B are related if a1,1 = -b1,1. (b)

Show that each is not an equivalence on the set of 2×2 matrices.
(a) Two matrices A; B are related if a1,1 = -b1,1.
(b) Two matrices are related if the sum of their entries are within 5, that is, A is related to B if [(a1;1 + ∙ ∙ ∙ + a2,2) - (b1,1 + ∙ ∙ ∙ + b2,2)] < 5.

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