Lesson: Matrix Representation of Complex NumbersMathematics
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.
Worksheet: 7 Questions
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 ?