#1
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¨§ËҤӵͺ
x1 + x2 - 2x3 + x4 + 3x5 = 1
2x1 - x2 + 2x3 + 2x4 + 6x5 = 2 3x1 + 2x2 - 4x3 - 3x4 - 9x5 = 3 ¨§ËҤӵͺ¢Í§ÊÁ¡ÒÃàªÔ§àÊé¹ |
#2
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ÍéÒ§ÍÔ§:
\left[ {A:B} \right] = \left[ {\begin{array}{*{20}c} 1 & 1 & { - 2} & 1 & 3 & : & 1 \\ 2 & { - 1} & 2 & 2 & 6 & : & 2 \\ 3 & 2 & { - 4} & { - 3} & { - 9} & : & 3 \\ \end{array}} \right] \] â´Â Gaussian Elimination ¨Ðä´é \[ \left[ {A:B} \right] = \left[ {\begin{array}{*{20}c} 1 & 1 & { - 2} & 1 & 3 & : & 1 \\ 2 & { - 1} & 2 & 2 & 6 & : & 2 \\ 3 & 2 & { - 4} & { - 3} & { - 9} & : & 3 \\ \end{array}} \right] \to \left[ {\begin{array}{*{20}c} 1 & 1 & { - 2} & 1 & 3 & : & 1 \\ 0 & 1 & { - 2} & 0 & 0 & : & 0 \\ 0 & 0 & 0 & 1 & 3 & : & 0 \\ \end{array}} \right] \] ËÃ×Í â´Â Gauss - Jordan Elimination ¨Ðä´é \[ \left[ {A:B} \right] = \left[ {\begin{array}{*{20}c} 1 & 1 & { - 2} & 1 & 3 & : & 1 \\ 2 & { - 1} & 2 & 2 & 6 & : & 2 \\ 3 & 2 & { - 4} & { - 3} & { - 9} & : & 3 \\ \end{array}} \right] \to \left[ {\begin{array}{*{20}c} 1 & 0 & 0 & 0 & 0 & : & 1 \\ 0 & 1 & { - 2} & 0 & 0 & : & 0 \\ 0 & 0 & 0 & 1 & 3 & : & 0 \\ \end{array}} \right] \] ´Ñ§¹Ñé¹ ¼Åà©Å¢ͧÃкºÊÁ¡Òä×Í \[ \left[ {\begin{array}{*{20}c} {x_1 } \\ {x_2 } \\ {x_3 } \\ {x_4 } \\ {x_5 } \\ \end{array}} \right] = \left[ {\begin{array}{*{20}c} 1 \\ {2t} \\ t \\ { - 3s} \\ s \\ \end{array}} \right] \] àÁ×èÍ \[ t,s \in \Re \] |
#3
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ä;ǡ x1 x2 ¹Õè¤×Í $x_1,x_2$ ËÃͤÃѺ
__________________
Do math, do everything. |
#4
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¼Á¤Ô´ÇèÒãªè¹Ð¤ÃѺ à¾ÃÒÐ
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