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2019 iT 邦幫忙鐵人賽

DAY 12
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機器學習與數學天天玩系列 第 12

Day 12-機器學習與數學天天玩-PCA-Transformation of Vectors in Spaces: Dot Product Part 2

/images/emoticon/emoticon28.gif We are now in the PCA journey, station 2.

  1. Statistical Introduction
    2. Transformation of Vectors in Spaces
  2. Orthogonal Projection

To solve the problem of calculating angles between two vectors, we have to use 2 concepts, consine rule and commutative law.

https://ithelp.ithome.com.tw/upload/images/20181015/20111554HEduYdQeUe.png

Becasue consine rule and commutative law work as follows:
https://ithelp.ithome.com.tw/upload/images/20181015/20111554YLmQuI8Sy3.png

https://ithelp.ithome.com.tw/upload/images/20181015/20111554uFgzx9CHF1.png

We can get the angle of cosine:

https://ithelp.ithome.com.tw/upload/images/20181015/20111554CdOvpNMwHW.png


上一篇
Day 11-機器學習與數學天天玩-PCA-Transformation of Vectors in Spaces: Dot Product Part 1
下一篇
Day 13-機器學習與數學天天玩-PCA-Transformation of Vectors in Spaces: Inner Product Part 1
系列文
機器學習與數學天天玩13

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