"기저와 선형결합"의 두 판 사이의 차이

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$$
 
$$
 +
\begin{array}{|rcl|}
 
\begin{array}{|rcl|}
 
\begin{array}{|rcl|}
 
\hline
 
\hline
  \{1,0\} & = & v_1 \\
+
  (1,0) & = & v_1 \\
 
\hline
 
\hline
  \left\{\frac{\sqrt{3}}{2},\frac{1}{2}\right\} & = & \sqrt{3} v_1+v_2 \\
+
  \left(\frac{\sqrt{3}}{2},\frac{1}{2}\right) & = & \sqrt{3} v_1+v_2 \\
 
\hline
 
\hline
  \left\{\frac{1}{2},\frac{\sqrt{3}}{2}\right\} & = & 2 v_1+\sqrt{3} v_2 \\
+
  \left(\frac{1}{2},\frac{\sqrt{3}}{2}\right) & = & 2 v_1+\sqrt{3} v_2 \\
 
\hline
 
\hline
  \{0,1\} & = & \sqrt{3} v_1+2 v_2 \\
+
  (0,1) & = & \sqrt{3} v_1+2 v_2 \\
 
\hline
 
\hline
  \left\{-\frac{1}{2},\frac{\sqrt{3}}{2}\right\} & = & v_1+\sqrt{3} v_2 \\
+
  \left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right) & = & v_1+\sqrt{3} v_2 \\
 
\hline
 
\hline
  \left\{-\frac{\sqrt{3}}{2},\frac{1}{2}\right\} & = & v_2 \\
+
  \left(-\frac{\sqrt{3}}{2},\frac{1}{2}\right) & = & v_2 \\
 
\hline
 
\hline
  \{-1,0\} & = & -v_1 \\
+
  (-1,0) & = & -v_1 \\
 
\hline
 
\hline
  \left\{-\frac{\sqrt{3}}{2},-\frac{1}{2}\right\} & = & -\sqrt{3} v_1-v_2 \\
+
  \left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right) & = & -\sqrt{3} v_1-v_2 \\
 
\hline
 
\hline
  \left\{-\frac{1}{2},-\frac{\sqrt{3}}{2}\right\} & = & -2 v_1-\sqrt{3} v_2 \\
+
  \left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right) & = & -2 v_1-\sqrt{3} v_2 \\
 
\hline
 
\hline
  \{0,-1\} & = & -\sqrt{3} v_1-2 v_2 \\
+
  (0,-1) & = & -\sqrt{3} v_1-2 v_2 \\
 
\hline
 
\hline
  \left\{\frac{1}{2},-\frac{\sqrt{3}}{2}\right\} & = & -v_1-\sqrt{3} v_2 \\
+
  \left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right) & = & -v_1-\sqrt{3} v_2 \\
 
\hline
 
\hline
  \left\{\frac{\sqrt{3}}{2},-\frac{1}{2}\right\} & = & -v_2 \\
+
  \left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right) & = & -v_2 \\
 
\hline
 
\hline
 
\end{array}
 
\end{array}
 
$$
 
$$
 
  
 
==역사==
 
==역사==

2012년 10월 21일 (일) 16:43 판

개요

\(v_{1}=(1, 0)\)

\(v_{2}=(-\sqrt{3}/2, 1/2)\)

$$ \begin{array}{|rcl|} \begin{array}{|rcl|} \hline (1,0) & = & v_1 \\ \hline \left(\frac{\sqrt{3}}{2},\frac{1}{2}\right) & = & \sqrt{3} v_1+v_2 \\ \hline \left(\frac{1}{2},\frac{\sqrt{3}}{2}\right) & = & 2 v_1+\sqrt{3} v_2 \\ \hline (0,1) & = & \sqrt{3} v_1+2 v_2 \\ \hline \left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right) & = & v_1+\sqrt{3} v_2 \\ \hline \left(-\frac{\sqrt{3}}{2},\frac{1}{2}\right) & = & v_2 \\ \hline (-1,0) & = & -v_1 \\ \hline \left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right) & = & -\sqrt{3} v_1-v_2 \\ \hline \left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right) & = & -2 v_1-\sqrt{3} v_2 \\ \hline (0,-1) & = & -\sqrt{3} v_1-2 v_2 \\ \hline \left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right) & = & -v_1-\sqrt{3} v_2 \\ \hline \left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right) & = & -v_2 \\ \hline \end{array} $$

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