观察2=1x2.2+4=6=2x3,2+4+6=12+3x4,2+4+6+8=20=4x5……根据上述规律计算2002+2004+2006+……+2050是多少.

解方程组 X1-X2-4X3=-1 X2+X3=2 X1+X2-2X3=3线性代数 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 ｛2X1-X2+3X3=33X1+X2-5X3=04X1-X2+X3=3X1+3X2-13X3=-6{X1-2X2+3X3-4X4=4X2-X3+X4=-3X1+3X2-3X4=1-7X2+3X3+X4=-3 解方程组x1+x2=4,x2+x3=-6,x3+x1=2 maxz=3x1+4x2+x3 -1+2x2+3x3 二次型f(x1,x2,x3)=(x1)^2+3(x2) ^2-4(x3)^2+6(x1)(x2)+10(x2)(x3)的矩阵是 求解线性方程组 X1+X2+X3=6 2X1+3X2+X3=11 X1-X2+2X3=5 {2X1 -X2 -X3 +X4 = 2{X1 +X2 -2X3 +X4 = 2{4X1 -6X2 +2X3 -2X4 = 4{X1 +4X2 -3X3 +2X4 = 1 求方程组X1-3X2-2X3-X4=1 3X1-8X2-4X3-X4=0 -2X1+X2-4X3+2X4=1 -X1-2X2-6X3+X4=2的解 求线性方程组{X1-3x2-2x3-X4=1;3X1-8X2-4X3-X4=0;-2X1+X2-4X3+2X4=1;-X1-2X2-6X3+X4=2的一般解. 用列主元Gauss消元法解线性方程组{-x2-x3+x4=0,x1-x2+x3-3x4=1,2x1-2x2-4x3+6x4=-1,x1-2x2-4x3+x4=-1 求线性方程组x1-3x2-2x3-x4=1,3x1-8x2-4x3-x4,-2x1+x2-4x3+2x4=1,-x1-2x2-6x3+x4= max Z=2X1+4X2-5X3 X1+X2+X3=7 2X1-3X2+X3≥10 X1.X2.X3≥0 已知x2+5x-4=0,求x3+6x2+x+2的值已知x2+x-1=0,求x3+2x2+3的值 求下列线性方程组的解（1）x1+2x2+x3=6,x2+4x3=6,4x2+x3=9（2）x1+x2+x3=5,2x1+3x2+x3=9,x2+4x3=9 需要具体的解答方程式 写出下面线性规划的对偶规划min Z=3X1+2X2+X3; X1+X2+X3≤6；X1-X3≥4；X2-X3≥3；X1,X2,X3≥0 x2-x-1=0,-x3+2x2+2008= 观察2=1x2,2+4=2x3,2+4+6=3x4.猜想2+4+6+.+2n=