Derive the following laws for complex numbers from the corresponding laws for real numbers. z 1 +
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Derive the following laws for complex numbers from the corresponding laws for real numbers.
z1 + z2 = z2 + z1, z1z2 = z2z1 (Commutative laws)
(z1 + z2) + z3 = z1 + (z2 + z3), (Associative laws)
(z1z2)z3 = z1(z2z3)
z1(z2 + z3) = z1z2 + z1z3 (Distributed laws)
0 + z = z + 0 = z,
z + (-z) = (-z) + z = 0, z · 1 = z.
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Solution Complex numbers are related to real numbers in the same manner as vectors are re...View the full answer
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