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Complex numbers can also be multiplied. We will start by multiplying by a real number.
If z = a + bi then c*z = (c*a) + (c*bi) = ca + cbi

See what happens to Penny when every part of her is multiplied by the same number. Enter a number and press Go. Reset will return Penny to her original position.

c =

Go Reset Penny is 8 units tall.

What happens to Penny when you multiply by a number that is

• Bigger than one?
• Negative?
• Between zero and one?