2x12+5x22+5x32+4x1x2-4x1x3-8x2x3配方法化为标准型
发布网友
共2个回答
热心网友
f=2x1^2+5x2^2+4X3^2+4x1x2-8x2x3-4x3x1
=2(x1+x2-x3)^2+3x2^2+2X3^2-4x2x3
=2(x1+x2-x3)^2+3(x2-(2/3)x3)^2+(2/3)x3^2
=2y1^2+3y2^2+(2/3)y3^2
热心网友
简单计算一下即可，答案如图所示
