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In this lesson, we will learn how to represent a complex number as a linear transformation matrix and use this to determine the product of two complex numbers.

Q1:

Describe the geometric transformation that occurs when numbers in the complex plane are mapped to their sum with π + π π .

Q2:

Suppose we take the matrix π = ο 3 4 β 4 3 ο to represent the complex number 3 β 4 π and the matrix π = ο 2 β 5 5 2 ο to represent the complex number 2 + 5 π .

What is the product π π ?

What does it represent?

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