用消元法解线性方程组x1+x2+2x3+4x4=33x1+x2+6x3+2x4=3-x1+2x2-2x3+x4=1麻烦用矩阵做,做到最简形以后,再解出方程.答案是x1=-2k+1/2,x2=1/2,x3=k,x4=1/2
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![用消元法解线性方程组x1+x2+2x3+4x4=33x1+x2+6x3+2x4=3-x1+2x2-2x3+x4=1麻烦用矩阵做,做到最简形以后,再解出方程.答案是x1=-2k+1/2,x2=1/2,x3=k,x4=1/2](/uploads/image/z/13702397-5-7.jpg?t=%E7%94%A8%E6%B6%88%E5%85%83%E6%B3%95%E8%A7%A3%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84x1%2Bx2%2B2x3%2B4x4%3D33x1%2Bx2%2B6x3%2B2x4%3D3-x1%2B2x2-2x3%2Bx4%3D1%E9%BA%BB%E7%83%A6%E7%94%A8%E7%9F%A9%E9%98%B5%E5%81%9A%2C%E5%81%9A%E5%88%B0%E6%9C%80%E7%AE%80%E5%BD%A2%E4%BB%A5%E5%90%8E%2C%E5%86%8D%E8%A7%A3%E5%87%BA%E6%96%B9%E7%A8%8B.%E7%AD%94%E6%A1%88%E6%98%AFx1%3D-2k%2B1%2F2%2Cx2%3D1%2F2%2Cx3%3Dk%2Cx4%3D1%2F2)
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用消元法解线性方程组x1+x2+2x3+4x4=33x1+x2+6x3+2x4=3-x1+2x2-2x3+x4=1麻烦用矩阵做,做到最简形以后,再解出方程.答案是x1=-2k+1/2,x2=1/2,x3=k,x4=1/2
用消元法解线性方程组
x1+x2+2x3+4x4=3
3x1+x2+6x3+2x4=3
-x1+2x2-2x3+x4=1
麻烦用矩阵做,做到最简形以后,再解出方程.
答案是x1=-2k+1/2,x2=1/2,x3=k,x4=1/2
用消元法解线性方程组x1+x2+2x3+4x4=33x1+x2+6x3+2x4=3-x1+2x2-2x3+x4=1麻烦用矩阵做,做到最简形以后,再解出方程.答案是x1=-2k+1/2,x2=1/2,x3=k,x4=1/2
增广矩阵 =
1 1 2 4 3
3 1 6 2 3
-1 2 -2 1 1
r2-3r1,r3+r1
1 1 2 4 3
0 -2 0 -10 -6
0 3 0 5 4
r2*(-1/2),r1-r2,r3-3r2
1 0 2 -1 0
0 1 0 5 3
0 0 0 -10 -5
r3*(-1/10),r1+r3,r2-5r3
1 0 2 0 1/2
0 1 0 0 1/2
0 0 0 1 1/2
得同解方程组:
x1 = -2x3 + 1/2
x2 = 1/2
x4 = 1/2
令x3=k,即得
x1=-2k+1/2,x2=1/2,x3=k,x4=1/2
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