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mvg:lecture_01:start [2018/11/19 09:32] – [Group] adminmvg:lecture_01:start [2018/11/19 09:55] (current) – [Group] admin
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 Set of invertible square matrices form the General Linear Group GL(n). They are closed with respect to multiplication. Set of invertible square matrices form the General Linear Group GL(n). They are closed with respect to multiplication.
  
-$\det(R) = 1$+$\det(M) = 1$
  
 $R: G \rightarrow GL(n)$ $R: G \rightarrow GL(n)$
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 $R$ is a group **homomorphism**. $R$ is a group **homomorphism**.
  
 +=== Affine Group $A(n)$ ===
 +
 +$L(x) = A(x) + b$
 +
 +$L: \mathbb{R}^{n+1}\rightarrow \mathbb{R}^{n+1}$
 +
 +$\left( \begin{array}{cc}
 +A & \mathbf{x}  \\\\
 +0 & 1 \\\\
 +\end{array}\right) $
 +
 +
 +===== Appendix: My MathJax Template for a Matrix =====
 +
 +$\left( \begin{array}{rrrr}
 +1 & 0 & \cdots & 0 \\\\
 +0 & \ddots & 0 & \vdots \\\\
 +\vdots & 0 & \ddots & 0 \\\\
 +0 & \cdots & 0 & 1 
 +\end{array}\right) $
  
mvg/lecture_01/start.1542619966.txt.gz · Last modified: 2018/11/19 09:32 by admin