If ab=0 what can be said about a or b?

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If ab = 0, then a = 0 or b = 0 (if xy = 0 then x = 0 or y = 0) (Proof) [ILIEKMATHPHYSICS]

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If ab ﹤ 0, then either (1) a ﹥ 0 and b ﹤ 0, or (2) a ﹤ 0 and b ﹥ 0 (Proof) [ILIEKMATHPHYSICS]

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If ab ﹥ 0, then either (1) a ﹥ 0 and b ﹥ 0, or (2) a ﹤ 0 and b ﹤ 0 (Proof) [ILIEKMATHPHYSICS]

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Prove if ab = 0, then a = 0 or b = 0 (ILIEKMATHPHYSICS)

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Prove Tr(AB) = 0 if A is Symmetric and B is Antisymmetric

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Prove if ab ﹤ 0, then a ﹥ 0 and b ﹤ 0, or a ﹤ 0 and b ﹥ 0 (ILIEKMATHPHYSICS)

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If ab is greater than 0 then either both a and b are greater than 0 or both less than 0

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If ab=0 Either a=0 or b=0

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Given aRb iff ab is greater or equal to 0 explain why R is not an equivalence relation on set N

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