Question

Let
z1,z2,z3
z1,z2,z3
be complex numbers then ..... obeys the associativity of multiplication of complex numbers

Answer 1

Answer on Question #58291 – Math – Complex Analysis

Question

Let

z1,z2,z3

be complex numbers then ... obeys the associativity of multiplication of complex numbers

Solution

Complex numbers $z_1, z_2, z_3$ obeys the associativity of multiplication of complex numbers. In another words,

$$z_1 * (z_2 * z_3) = (z_1 * z_2) * z_3,$$

because $\mathbb{C}$ is a field and every three complex numbers obeys the associativity of multiplication of complex numbers.

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