判断V1={(x1,x2,x3)|3x1+2x2-x3=0}是否是向量空间并证明

判断V1={(x1,x2,x3)|3x1+2x2-x3=0}是否是向量空间并证明 判断下列齐次线性方程组是否有非零解x1+3x2-9x3+7x4=0-3x1-x2+8x3+x4=0 x1-3x2+5x3-x4=0 x1+x2-2x3+3x4=0 判断齐次线性方程组的解 x1+x2+2x3+3x4=0 x1+2x2+3x3-x4=0 2x1-x2-x3-2x4=0 2x1+3x2-x3-x4=0 判断齐次线性方程组解的情况；若有非零解,求其通解.X1+X2-X3+2X4=02X1-2X2+2X3-3X4=05X1+X2-X3+X4=03X1-X2+3X3-X4=0 设X1,X2,X2是方程X3+PX+q=0的3个根,计算行列式 X1 X2 X3 X3 X1 X2 X2 X3 X1 判断下列非齐次线性方程组是否有解,有解时,求其一般解（1）2x1+3x2-2x3=1 x1-x2+3x3=1 5x1+3x2-x3=3 (2) 3x1+x2+4x3-3x4=2 2x1-3x2+x3-5x4=1 5x1+10x2+2x3-x4=21大哥, 求解线性方程组 X1+X2+X3=6 2X1+3X2+X3=11 X1-X2+2X3=5 设X1,X2,X3是方程X^3+px+q=0de三个根,则|x1 x2 x3|= |x3 x1 x2| |x2 x3 x1| max Z=2X1+4X2-5X3 X1+X2+X3=7 2X1-3X2+X3≥10 X1.X2.X3≥0 解线性方程组 x1-x2-x3=2 x1+x2+4x3=0 3x1+5x3=3 线性方程组{2x1-x2-2x3=λx1{5x1-3x2-3x3=λx2{-x1+2x3=-λx3有非零解,则λ= 方程组3x1+x2+x3 线性代数问题 如何判断集合是否为向量空间?例子见问题补充x1 {( x2 ) x1+x2=0且x1 x2 x3∈R} x3 x1 {( x2 ) x1+x2=1且x1 x2 ∈R} 0补充图片 消元法解线性代数4X1+2X2-X3=23X1-X2+2X3=1011X1+3X2 =8 写出对偶规划 X1+5X2-3X3>=15 -5X1-6X2+10X3 求解非齐次线性方程组x1+x2+x3=3,x2-x3=0,-x1-x2+2x3=0,2x1-x2+x3=2 用初等行变换来解下列线性方程组（1）2x1-x2+3x3=3 3x1+x2-5x3=0 4x1-x2+x3=3 x1+3x2-13x3=-6(2) x1-2x2+x3+x4=1 x1-2x2+x3-x4=-1 x1-2x2+x3-5x4=5(3) x1-x2+x3-x4=1 x1-x2-x3+x4=0 x1-x2-2x3+2x4=-1/2 判断方程组是否有解；如方程组有无穷多个解时,求方程组的全部解.方程组 x1-x2-x3+x4=0x1+x2-x3-3x4=1x1-2x2-x3+3x4=1/2