One of the basic properties of real numbers is that if a product is equal to zero, then at least one of the factors is zero. Exercises 79 and 80 show that this property also holds for complex numbers. For Exercise, assume that zw = 0, where z = a + bi and w = c + di.
If a ≠ 0, prove that w = 0. (That is, prove that c = d = 0.)
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