ALGEBRAIC OPERATIONS ON COMPLEX NUMBERS WORKSHEET

(1)  Evaluate the following if z = 5 − 2i and w = −1+ 3i

(i) z + w           

(ii) z − i w

(iii)  2z + 3w

(iv) z w

(v) z² + 2zw+ w²

(vi) (z + w)²            Solution

(2)  Given the complex number z = 2 + 3i , represent the complex numbers in Argand diagram.

(i)  z, iz , and z + iz

(ii) z, − iz , and z − iz.           Solution

(3)  Find the values of the real numbers x and y, if the complex numbers (3− i)x − (2 − i) y + 2i + 5 and 2x + (−1+ 2i) y + 3+ 2i are equal         Solution

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