Lesson: Matrix Representation of Complex Numbers Mathematics
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.
Suppose we take the matrix to represent the complex number and the matrix to represent the complex number .
What is the product ?
What does it represent?
Describe the geometric transformation that occurs when numbers in the complex plane are mapped to their sum with .
Let be the matrix representation of the complex number .
Express the matrix representation of in terms of .
What does correspond to in relation to ?
What does correspond to in terms of ?