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Orthonormal bases and the Gram-Schmidt process

As we'll see in this tutorial, it is hard not to love a basis where all the vectors are orthogonal to each other and each have length 1 (hey, this sounds pretty much like some coordinate systems you've known for a long time!). We explore these orthonormal bases in some depth and also give you a great tool for creating them: the Gram-Schmidt Process (which would also be a great name for a band).

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

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Description

As we'll see in this tutorial, it is hard not to love a basis where all the vectors are orthogonal to each other and each have length 1 (hey, this sounds pretty much like some coordinate systems you've known for a long time!). We explore these orthonormal bases in some depth and also give you a great tool for creating them: the Gram-Schmidt Process (which would also be a great name for a band).

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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