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Review of Linear Algebra

This note is an introduction to Linear Algebra for future study.

1. Overview

As you can see, I was studying GAMES 101 just for fun. It was relaxing at the beginning until I met the Lecture 03 -- Transformation... So, I went back to review and organize what I have learned for moving on.

You can see I was noting with English even though I am completely Chinese, hh... Simply because the lecture is in English for the whole time, and I was immersing in this Environment and found it interesting.

The second reason is that I want to attempt a new way to manage my note and practice my English writing in the same time. I will use DeepSeek or other AI to correct it, so you will see some non-typical expression in my post.

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In this post, you will see: - Vectors - Vector Normalization - Vector Addition - Cartesian Coordinates - Vector Multiplication - Orthonormal bases and coordinate frames - Dot Product - Cross product - Matrices - What is a matrix - Matrix-Matrix Multiplication - Matrix-Vector Multiplication - Transpose of a Matrix - Identity Matrix and Inverses - Vector multiplication in Matrix form

2. Vectors

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I think noting in this way is too slow, I will not do this again...

Translation Glossary

  1. Orthonormal 正交
  2. coordinate frames 坐标系
  3. cross product 叉积
  4. Identity Matrix 单位矩阵

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