Week 11-12

Learning outcomes

After learning these articles students were capable of finding the basis for inner product space, they know how to find inner product of vectors and matrix.

Lesson plan

  • Lecture 01

​Cauchy-schwarz inequality

  • Lecture 02

​properties of length and distance in general inner product space

  • Lecture 03

​theorem of Pythagoras

  • Lecture 04

​Gram- Schimidt process

  • Lecture 05

​orthogonal and orthonormal set

  • Lecture 06

​projection theorem

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