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#1
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͸ԺÒÂà¡ÕèÂǡѺàÃ×èͧ Transform and Conquer ãËé¿Ñ§·Õ¤ÃѺ
1.Gaussian Elimination ¤×ÍÍÐääÃѺ ãªé·ÓÍÐäÃ
2.LU Decomposition ¤×ÍÍÐääÃѺ ãªé·ÓÍÐäà 3.Computing a Matrix Inverse ¤×ÍÍÐääÃѺ ãªé·ÓÍÐäà 4.Computing a Determinant ¤×ÍÍÐääÃѺ ãªé·ÓÍÐäà µÍºáººÊÑé¹æ¡çä´é¤ÃѺ ÍÂÒ¡·ÃÒºÇèÒ¤×ÍÍÐäÃãªé·ÓÍÐäÃÍèФÃѺ |
#2
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ÍéÒ§ÍÔ§:
ã¹·Ò§ Linear Algebra ÂѧÊÒÁÒö¤Ó¹Ç³ËÒ Rank ¢Í§àÁµÃÔ¡«ìä´é áÅй͡¨Ò¡¹Ñé¹ ãªéËÒ Inverse ¢Í§àÁµÃÔ¡«ì ·Õèà»ç¹ àÁµÃÔ¡«ì¨µØÃÑÊ·ÕèÊÒÁÒöËÒÍÔ¹àÇÔÃìÊä´é (invertible matrix square) LU Decomposition à»ç¹¡ÒÃà¢Õ¹àÁµÃÔ¡«ì ãËéÍÂÙèã¹ÃÙ» ¼Å¤Ù³¢Í§àÁµÃÔ¡«ì ÊÒÁàËÅÕèÂÁÅèÒ§ (Lower tiangular matrix) áÅÐÊÒÁàËÅÕèÂÁº¹(Uper tiangular matrix) »ÃÐ⪹ì¤×Í á¡éÃкºÊÁ¡ÒÃàªÔ§àÊé¹áÅÐËÒÍÔ¹àÇÔÃìÊ 2 ÍѹÅèÒ§¹ÕéäÁè¤èÍÂá¹è㨹ФÃѺ Computing a Matrix Inverse ¹èÒ¨Ðá»ÅµÃ§æ¹Ð¤ÃѺ à»ç¹¡ÒäӹdzËÒÍÔ¹àÇÔÃìʢͧàÁµÃÔ¡«ì Computing a Determinant ¹èÒ¨Ðá»ÅµÃ§æ¹Ð¤ÃѺ à»ç¹¡ÒäӹdzËÒ ´Õà·ÍÃìÁÔá¹¹·ì (Determinant) ¢Í§àÁµÃÔ¡«ì ËÁÒÂàËµØ ã¹¡ÒÃËÒÍÔ¹àÇÃìʢͧàÁµÃÔ¡«ìÁÕËÅÒÂÇÔ¸Õ¤ÃѺ 㹧ҹáµèÅЧҹ¨ÐàËÁÒÐÊÁ¡ÑºáµèÅÐÇÔ¸Õ ã¹¡ÒÃËÒ Det ¡çàªè¹à´ÕÂǡѹ àªè¹ àÃÒÍÒ¨¨ÐËÒ det ¨Ò¡ÇÔ¸Õ (ËÒ â¤á¿¡àµÍÃì) ËÃ×Í ãªé¡® à¤ÃìàÁÍÃì à»ç¹µé¹
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