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19 July, 05:42

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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  1. 19 July, 06:24
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    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)
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