"기저와 선형결합"의 두 판 사이의 차이
Pythagoras0 (토론 | 기여)   | 
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| (사용자 2명의 중간 판 14개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
| − | + | ==개요==  | |
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| − | + | ==예==  | |
| − | <math>  | + | <math>v_{1}=(1, 0)</math>  | 
| − | + | <math>v_{2}=(-\sqrt{3}/2, 1/2)</math>  | |
| − | <  | + | :<math>  | 
| + | \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}  | ||
| + | </math>  | ||
| − | + | ==역사==  | |
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| + | |||
* http://www.google.com/search?hl=en&tbs=tl:1&q=  | * http://www.google.com/search?hl=en&tbs=tl:1&q=  | ||
| − | * [[  | + | * [[수학사 연표]]  | 
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| − | + | ||
| − | + | ==메모==  | |
| − | + | ||
* Math Overflow http://mathoverflow.net/search?q=  | * Math Overflow http://mathoverflow.net/search?q=  | ||
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| − | + | ==관련된 항목들==  | |
| + | * [[행렬과 선형사상]]  | ||
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| − | + | ==매스매티카 파일 및 계산 리소스==  | |
| − | *   | + | * https://docs.google.com/file/d/0B8XXo8Tve1cxZi1vYlpSZTVoRjQ/edit  | 
| − | + | [[분류:선형대수학]]  | |
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2020년 11월 12일 (목) 01:53 기준 최신판
개요
예
\(v_{1}=(1, 0)\)
\(v_{2}=(-\sqrt{3}/2, 1/2)\)
\[ \begin{array}{|rcl|} \hline (1,0) & = & v_1 \\ \hline \left(\frac{\sqrt{3}}{2},\frac{1}{2}\right) & = & \sqrt{3} v_1+v_2 \\ \hline \left(\frac{1}{2},\frac{\sqrt{3}}{2}\right) & = & 2 v_1+\sqrt{3} v_2 \\ \hline (0,1) & = & \sqrt{3} v_1+2 v_2 \\ \hline \left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right) & = & v_1+\sqrt{3} v_2 \\ \hline \left(-\frac{\sqrt{3}}{2},\frac{1}{2}\right) & = & v_2 \\ \hline (-1,0) & = & -v_1 \\ \hline \left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right) & = & -\sqrt{3} v_1-v_2 \\ \hline \left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right) & = & -2 v_1-\sqrt{3} v_2 \\ \hline (0,-1) & = & -\sqrt{3} v_1-2 v_2 \\ \hline \left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right) & = & -v_1-\sqrt{3} v_2 \\ \hline \left(\frac{\sqrt{3}}{2},-\frac{1}{2}\right) & = & -v_2 \\ \hline \end{array} \]
역사
 
 
메모
- Math Overflow http://mathoverflow.net/search?q=
 
 
 
관련된 항목들