Recall that the symbol z represents the complex conjugate of z. If z = a + bi, show that the statement is true. Z − z is a pure imaginary number. Use the definition of complex conjugates to simplify the expression.

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Answer:

Step-by-step explanation:

z = a + bi

the complex conjugate is : Z = a-bi

so : Z-z =  (a-bi) - ( a + bi ) = a-bi -a -bi

Z-z = -2bi ...is a pure imaginary number (the statement is true)