Lesson: Linear Transformation Definition Mathematics

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In this lesson, we will learn how to define a linear transformation and state whether a given transformation is linear.

Lesson Plan

Students will be able to

  • understand how a matrix can be used to represent a linear transformation,
  • understand that a transformation 𝐿∶ℝ⟶ℝ is linear if
    • 𝐿(𝑣+𝑤)=𝐿(𝑣)+𝐿(𝑤), where 𝑣 and 𝑤∈ℝ,
    • 𝐿(𝑎𝑣)=𝑎𝐿(𝑣), where 𝑎∈ℝ,
  • verify whether a given transformation is linear or not.

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