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Linear Algebra

Inner Product Spaces
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Inner Product Spaces

  • Lesson 1 - Intro - Inner Product
  • Lesson 2 - Formal Def - Example 1
  • Lesson 3 - Example 2
  • Lesson 4 - Criterion for Product to be Inner
  • Exercise 1
  • Exercise 2
  • Exercise 3
  • Exercise 4
  • Exercise 5
  • Exercise 6

Norm and Distance

  • Lesson 1 - Norm of a Vector
  • Lesson 2 - Unit Vector - Normalization
  • Lesson 3 - Distance Between Vectors
  • Exercise 1
  • Exercise 2
  • Exercise 3
  • Exercise 4
  • Exercise 5
  • Exercise 6
  • Exercise 7
  • Exercise 8

Cauchy–Schwarz Inequality

  • Lesson 1 - Cauchy–Schwarz Inequality
  • Lesson 2 -The Triangle Inequality
  • Lesson 3 - Angle Between Vectors
  • Exercise 1
  • Exercise 2
  • Exercise 3
  • Exercise 4
  • Exercise 5
  • Exercise 6
  • Exercise 7

Orthogonality

  • Exercise 1
  • Exercise 2
  • Exercise 3
  • Exercise 4
  • Exercise 5
  • Exercise 6
  • Exercise 8
  • Exercise 9

Orthogonal Complement

  • Lesson 1 - Orthogonal Complement
  • Exercise 1
  • Exercise 2
  • Exercise 3
  • Exercise 4
  • Exercise 5
  • Exercise 6
  • Exercise 7
  • Exercise 8
  • Exercise 9
  • Exercise 10
  • Exercise 11
  • Exercise 12
  • Exercise 13

Orthogonal Sets and Bases

  • Lesson 1 - Orthogonal Sets of Vectors
  • Lesson 2 - Orthogonal Bases
  • Exercise 1
  • Exercise 2
  • Exercise 3
  • Exercise 4
  • Exercise 6
  • Exercise 5
  • Exercise 7
  • Exercise 8
  • Exercise 9
  • Exercise 10
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