Worksheet: Matrix Representation of Complex Numbers

In this worksheet, we will practice representing a complex number as a linear transformation matrix and using this to determine the product of two complex numbers.

Q1:

Suppose we take the matrix to represent the complex number and the matrix to represent the complex number .

What is the product ?

  • A
  • B
  • C
  • D
  • E

What does it represent?

  • AThis is the matrix representing which is the product .
  • BThis is the matrix representing which is the product
  • C This is the matrix representing which is the product .
  • DThis is the matrix representing which is the product .
  • EThis is the matrix representing which is the product

Q2:

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

  • Aa translation by
  • Ba translation by
  • Ca translation by
  • Da translation by
  • Ea translation by

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