기저와 선형결합

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

• http://www.google.com/search?hl=en&tbs=tl:1&q=
• 수학사 연표

메모

• Math Overflow http://mathoverflow.net/search?q=

관련된 항목들

• 행렬과 선형사상

매스매티카 파일 및 계산 리소스

• https://docs.google.com/file/d/0B8XXo8Tve1cxZi1vYlpSZTVoRjQ/edit