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Inverse functions and transformations

You can use a transformation/function to map from one set to another, but can you invert it? In other words, is there a function/transformation that given the output of the original mapping, can output the original input (this is much clearer with diagrams). This tutorial addresses this question in a linear algebra context. Since matrices can represent linear transformations, we're going to spend a lot of time thinking about matrices that represent the inverse transformation.

Topics: Algebra, General Mathematics, Linear Algebra
Cost: Free

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Description

You can use a transformation/function to map from one set to another, but can you invert it? In other words, is there a function/transformation that given the output of the original mapping, can output the original input (this is much clearer with diagrams). This tutorial addresses this question in a linear algebra context. Since matrices can represent linear transformations, we're going to spend a lot of time thinking about matrices that represent the inverse transformation.

Details

  • Days of the Week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
  • Level of Difficulty: Beginner
  • Size: One-on-One
  • Instructor: Sal Khan
  • Cost: Free
  • Institution: Khan Academy
  • Topics: Algebra, General Mathematics, Linear Algebra

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About Khan Academy: Khan Academy is an organization on a mission. Khan Academy is a not-for-profit with the goal of changing education for the better by providing a free world-class education for anyone anywhere.

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