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Introduction

Readiness Assurance.

Before beginning this chapter, you should be able to...
  1. Compose functions of real numbers.
  2. Identify the domain and codomain of linear transformations.
  3. Calculate the standard matrix of a linear transformation and use it to compute the image of a given vector under the transformation.
  4. Determine if a linear transformation is injective and/or surjective.
  5. Interpret the ideas of injectivity and surjectivity in multiple ways.