台灣黑皮歐巴桑的學習祕笈

中英文版(高二下數學)第三章第四節 平面上的線性變換與二階方陣(伸縮矩陣 / 旋轉矩陣 /鏡射矩陣/ 推移矩陣/  線性變換的面積比)

*EP.30 平面線性變換｜第四冊 矩陣 | 高中數學 ｜108新課綱
https://www.youtube.com/watch?v=MEhGe6IgvWE

*EP.31 伸縮矩陣與推移矩陣｜第四冊 矩陣 | 高中數學 ｜108新課綱
https://www.youtube.com/watch?v=dCsatToIPyU

*EP.32 鏡射矩陣｜第四冊 矩陣 | 高中數學 ｜108新課綱
https://www.youtube.com/watch?v=qFcldScJVG8

*EP.33 旋轉矩陣｜第四冊 矩陣 | 高中數學 ｜108新課綱
https://www.youtube.com/watch?v=d_QXzt0CODU

*利用旋轉矩陣來轉橢圓
https://www.youtube.com/watch?v=U4HF6CPuaaw

*高中數學_矩陣_線性變換的面積比I_簡心怡
https://www.youtube.com/watch?v=ECj6Fgb3SFM

*高中數學_矩陣_線性變換的面積比II_簡心怡
https://www.youtube.com/watch?v=5zu2UXjNZI4

*高中_數學_矩陣_特殊矩陣
https://www.youtube.com/watch?v=VKzZktHUI6k

*[高中數學][高二下][矩陣] EP8.1 線性變換(觀念) [楊翰數學]
https://www.youtube.com/watch?v=zKRWrYcWDPQ

*[高中數學][高二下][矩陣] EP8.2 線性變換的三個做法 [楊翰數學]
https://www.youtube.com/watch?v=Zlprfqk2pZE

*[高中數學][高二下][矩陣] EP8.3 線性變換的面積變化 [楊翰數學]
https://www.youtube.com/watch?v=D434uF8lbBg

*[高中數學][高二下][矩陣] EP9.1 旋轉矩陣(觀念) [楊翰數學]
https://www.youtube.com/watch?v=FKrgi7bf8vA

*[高中數學][高二下][矩陣] EP9.2 旋轉矩陣(點的旋轉) [楊翰數學]
https://www.youtube.com/watch?v=ep4Nh38QUPo

*[高中數學][高二下][矩陣] EP9.3 旋轉矩陣(圖形的旋轉) [楊翰數學]
https://www.youtube.com/watch?v=lrQnkO-sVyo

*[高中數學][高二下][矩陣] EP9.4 旋轉矩陣(進階) [楊翰數學]
https://www.youtube.com/watch?v=4MkgYnNT5HI

*[高中數學][高二下][矩陣] EP10.1 鏡射矩陣(觀念) [楊翰數學]
https://www.youtube.com/watch?v=6H2qyGjv6Rg

*[高中數學][高二下][矩陣] EP10.2 鏡射矩陣(點的鏡射) [楊翰數學]
https://www.youtube.com/watch?v=uAivQXqCzvI

*[高中數學][高二下][矩陣] EP10.3 鏡射矩陣(圖形的鏡射) [楊翰數學]
https://www.youtube.com/watch?v=t1r5XiX0CzQ

*[高中數學][高二下][矩陣] EP11 鏡射矩陣與旋轉矩陣 [楊翰數學]
https://www.youtube.com/watch?v=NugOI2K6TMw

*[高中數學][高二下][矩陣] EP12 伸縮矩陣 [楊翰數學]
https://www.youtube.com/watch?v=-EkPIMkLA5g

*[高中數學][高二下][矩陣] EP13 推移矩陣 [楊翰數學]
https://www.youtube.com/watch?v=MZhk7CvHVvQ

*[高中數學][高二下][矩陣] EP14 矩陣列運算與線性變換 [楊翰數學]
https://www.youtube.com/watch?v=ppVqmszOOOw

108新課綱｜高二數學｜【觀念】平面線性變換的意義及性質
https://www.youtube.com/watch?v=iJBdkECIFXs

矩陣-伸縮矩陣說明
https://www.youtube.com/watch?v=0NaI38Sa8l8

高中數學_矩陣_旋轉矩陣_簡心怡
https://www.youtube.com/watch?v=xjOOkyb45Zg

鏡射矩陣原理說明
https://www.youtube.com/watch?v=ZjewL_muqDU

高中數學_矩陣_推移矩陣_簡心怡
https://www.youtube.com/watch?v=aGYfOnbZHtg

高中_數學_線性變換的面積比
https://www.youtube.com/watch?v=CPZEHKzyFJc

高中_數學_平面上的線性變換與二階方陣_觀念9 線性變換的面積比
https://www.youtube.com/watch?v=0DMpOHQ2A-U

高中_數學_平面上的線性變換與二階方陣_觀念10 線性變換的結論
https://www.youtube.com/watch?v=ycOug5xvF58

*2.5 Transformations: dilations, rotations, and reflections
https://www.youtube.com/watch?v=amsLvXVax1s

*Matrix Dilations
https://www.youtube.com/watch?v=JHU2xUsQq1E

*Dilation transformations Using Matrices
https://www.youtube.com/watch?v=oJNvIzl_BgM

*Rotation Matrix
https://www.youtube.com/watch?v=Ta8cKqltPfU

*Matrix Reflections
https://www.youtube.com/watch?v=LiqGHh-NCNM

*Linear transformation examples: Scaling and reflections | Linear Algebra | Khan Academy
https://www.youtube.com/watch?v=qkfODKmZ-x4

*Deriving the Reflection Matrix in 2 Dimensions!
https://www.youtube.com/watch?v=ZC_Oh8lOKRg

*Matrices Quick Tip for Rotating and Reflecting
https://www.youtube.com/watch?v=nNw48yWDEOk

*How to remember the transformation matrix for Reflection without memorizing them
https://www.youtube.com/watch?v=gKnw5VuvrO0

*Linear Algebra: Scaling and Shearing Transformations
https://www.youtube.com/watch?v=dbu-Ls4ge9s

*Linear Algebra - Lecture 17 - Matrix Transformations
https://www.youtube.com/watch?v=a7KC9Jx5qlM

*A-Level Further Maths: C3-11 Matrices: Shears
https://www.youtube.com/watch?v=azOYNBhK18k

*Shear Transformations Using Matrices
https://www.youtube.com/watch?v=Z2bR0Mb1Jj0

*Scale Matrix and Normal - Interactive 3D Graphics
https://www.youtube.com/watch?v=HEydT6_Re84

*線性變換與矩陣 | 線性代數的本質 第三章
https://www.youtube.com/watch?v=kYB8IZa5AuE

*Dear linear algebra students, This is what matrices (and matrix manipulation) really look like
https://www.youtube.com/watch?v=4csuTO7UTMo

*Understanding Vector Spaces
https://www.youtube.com/watch?v=EP2ghkO0lSk

*Linear Transformations on Vector Spaces
https://www.youtube.com/watch?v=is1cg5yhdds

*Zero, identity, diagonal, triangular, banded matrices | Lecture 3 | Matrix Algebra for Engineers
https://www.youtube.com/watch?v=N2VlHqWyll8&list=PLkZjai-2Jcxlg-Z1roB0pUwFU-P58tvOx&index=4  (矩陣從四開始)

Matrix: Describe Transformation Rules of x and y
https://www.youtube.com/watch?v=i2D5aLQvdHM

Matrix Transformations: Dilation and Rotation
https://www.youtube.com/watch?v=BGKCVxAK2fU

Rotation Matrix
https://www.youtube.com/watch?v=Ta8cKqltPfU

Using matrices to transform the plane: Mapping a vector | Matrices | Precalculus | Khan Academy
https://www.youtube.com/watch?v=TuDYc-8L2Bw

A-Level Further Maths: C3-06 Matrices: Reflections
https://www.youtube.com/watch?v=sIWVqQgjv_4

9 Matrix Multiplication - Transformation as a Shear
https://www.youtube.com/watch?v=As1dhPgfVFo

Matrices as transformations of the plane | Matrices | Precalculus | Khan Academy
https://www.youtube.com/watch?v=PtjdhADnJi4

部分資料來源: 學習吧
https://www.learnmode.net/knowledge/version?p=26#focus