.
Multiplication
Problem 1.1 (complexity 1). Solution
If
and
, find
z
1
· z
2
= x+iy
.
Solution 1
By the definition,
z
1
·
z
2
Solution 2
By formally manipulating the terms as if they involved only real numbers and by replacing i
2
by -1 when it occurs,
z
1
·
z
2
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