Algebraic Operations on Complex Numbers Worksheet :
Here we are going to see some example problems based on algebraic operations on complex numbers.
(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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