(急)!利用矩阵的初等变换求解下列线性方程组,要有完整的过程.

(急)!利用矩阵的初等变换求解下列线性方程组,要有完整的过程.
x1+5x2-x3-x4=-1
x1-2x2+x3+3x4=3
3x1+8x2-x3+x4=1
x1-9x2+3x3+7x4=7
- #数学
  • .1.参考答案-1
    1 5 -1 -1 -1
    1 -2 1 3 3
    3 8 -1 1 1
    1 -9 3 7 7
    -----
    1 5 -1 -1 -1
    0 -7 2 4 4
    0 -7 2 4 4
    0-14 4 8 8
    ----
    1 5 -1 -1 -1
    0 -7 2 4 4
    0 0 0 0 0
    0 0 0 0 0
    -------
    1 5 -1 -1 -1
    0 -7/2 1 2 2
    0 0 0 0 0
    0 0 0 0 0
    -----
    1 -3/2 0 1 1
    0 -7/2 1 2 2
    0 0 0 0 0
    0 0 0 0 0
    --
    故有
    x1=3/2x2-x4+1
    x3=7/2x2-2x4+2
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