Description of the elements in the equivalence class
Illustrate a relation ~ on the set of intergers Z as m ~ n if and only if m^2 + n^2 is even.
a) Show that ~ is an equivalence relation
b) Provide a complete description of the elements in the equivalence class
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Determine an equation of the line that contains the point (5, -3, 1) and that is orthogonal to the plane 2x+y-4z=5 (show every step)
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Show that ~ is an equivalence relation. Provide a complete description of the elements in the equivalence class
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Illustrate and provide an example of a cyclic group. Provide and example of a group that is not cyclic.
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