.解线性方程组|X1+X2+X3+X4=5 |X1+2X2-X3+4X4=-2 |2X1-3X2-X3-5X4=-2 |3X1+X2+2X3+11X4=0

来源:学生作业帮助网 编辑:作业帮 时间:2024/03/29 00:59:16
.解线性方程组|X1+X2+X3+X4=5 |X1+2X2-X3+4X4=-2 |2X1-3X2-X3-5X4=-2 |3X1+X2+2X3+11X4=0

.解线性方程组|X1+X2+X3+X4=5 |X1+2X2-X3+4X4=-2 |2X1-3X2-X3-5X4=-2 |3X1+X2+2X3+11X4=0
.解线性方程组|X1+X2+X3+X4=5 |X1+2X2-X3+4X4=-2 |2X1-3X2-X3-5X4=-2 |3X1+X2+2X3+11X4=0

.解线性方程组|X1+X2+X3+X4=5 |X1+2X2-X3+4X4=-2 |2X1-3X2-X3-5X4=-2 |3X1+X2+2X3+11X4=0
增广矩阵=
1 1 1 1 5
1 2 -1 4 -2
2 -3 -1 -5 -2
3 1 2 11 0
用初等行变换化为
1 0 0 0 1
0 1 0 0 2
0 0 1 0 3
0 0 0 1 -1
方程组有唯一解:(1,2,3,-1)^T.

解线性方程组x1+x2+x3+x4=2;2x1+3x2+4x3+3x4=5;x1+3x2+5x3+3x4=4 解线性方程组(x1-x2+x3-x4=1,x1-x2-x3+x4=0,x1-x2-2x3+2x4=0.5) X1+X2-3X3-X4=1 3X1-X2-3X3+4X4=4 X1+5X2-9X3-8X4=0 解线性方程组 解线性方程组x1+x2+3x3+4x4=5 2x1+4x2+4x3+6x4=8 -x1-2x2-x3-2x4=-3 求解非齐次线性方程组x1-2x2+x3+x4=1,x1-2x2+x3-x4=-1,x1-2x2+x3-5x4=5的解 用初等行变换解线性方程组 x1-2x2+x3+x4=1 x1-2x2+x3-x4=-1 x1-2x2+x3-5x4=5 求线性方程组一般解,2X1+X2-2X3+3X4=03X1+2X2-X3+2X4=0X1+X2+X3-X4=0 线性方程组怎么解?x1+x2+2x3-x4=02x1+x2+x3-x4=02x1+2x2+x3+2x4=0 线性方程组X1+X2-X3+X4=1,2x1+2x2-2x3+2x4=1的解为 齐次线性方程组{X1+X2+3X3+X4=0;2X1-X2+X3-3X4=0;X1+X3-X4=0}的基础解系 求齐次线性方程组 x1+x2+2x3-x4=0 -x1-3x3+2x4=0 2x1+x2+5x3-3x4=0 的一般解. 求齐次线性方程组x1+x2+2x3-x4=0 ,-x1-3x3+2x4=0 ,2x1+x2+5x3-3x4=0的一般解 线性代数!解非其次线性方程组;【2x1+x2-x3+x4=1;4x1+2x2-2x3+x4=2;2x1+x-x3-x4=1】. 求齐次线性方程组X1+X2+2X2-X4=0,-X1-3X3+2X4=0,2X1+X2+5X3-3X4=0的一般解. 求解线性方程组的一般解方程组为 x1-x2+x4=2x1-2x2+x3+4x4=32x1-3x2+x3+5x4=5 求线性方程组(X1-X2+X4,X1-2X2+X3+4X4=3,2X1-3X2+X3+5X4=5)的一般解, 解线性方程组{2X1+X2-2X3-2X4=0 X1+2X2+2X3+X4=0 X1-X2-4X3-3X4=0 解线性方程组{2X1+X2-2X3-2X4=0X1+2X2+2X3+X4=0X1-X2-4X3-3X4=0 解线性方程组{2x1-5x2+2x3-3x4=0,x1+2x2-x3+3x4=0,-2x1+14x2-6x3+12x4=0}一般解解线性方程组{2x1-5x2+2x3-3x4=0,x1+2x2-x3+3x4=0,-2x1+14x2-6x3+12x4=0}一般解