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x1+x2+kx3= 4
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x1-x2+2x3= -4
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botaoqing

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dandan314342(½ð±Ò+1):лл²ÎÓë
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2Â¥2011-01-08 21:03:54
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dandan314342

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BlueMage

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ÕÒ³örow-echelon form of the augmented matrix£¬Ó¦¸ÃÏÈÄõ½
1     1      k        4
0    k+1   k+1    k^2+4
0    2      k-2      8

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1      1       k                   |   4
0     k+1     k+1               |  k^2+4
0     0       -(k-4)(k+1)/2   | k^2-4k
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4Â¥2011-01-09 14:42:42
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BlueMage

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ÄãÈ¥ÕÒÏÂÏßÐδúÊýÈëÃſα¾£¬ÉÏÃæÓ¦¸Ã¶¼ÓеÄ
ÏÈÕÒrow echelon form of the augmented matrix
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1) linear system is inconsistent if the last column is a pivot column
2) has exactly one solution if except the last column, every column is a pivot column
3) has infinitely many solution if apart from the last column, it has at least one more non-pivot column
5Â¥2011-01-09 14:46:51
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