Question: Zero Divisors If a and b are real or complex numbers such that ab = 0. then either a = 0 or b = 0.

Zero Divisors If a and b are real or complex numbers such that ab = 0. then either a = 0 or b = 0. Does this property hold for matrices? That is, if A and Bare n ( n matrices such that AB = 0. is if true that we must have A = 0 or B = 0? Prove the result or find a counter example. (Please do not do both)

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