线性代数用配方法将二次型化为标准型

2025-06-28 00:51:09
推荐回答(1个)
回答1:

f = (x1+x2-x3)^2 + (x2)^2-(x3)^2+2x2x3
= (x1+x2-x3)^2 + (x2+x3)^2 - 2(x3)^2
= (y1)^2 + (y2)^2 - 2(y3)^2
y1 = x1+x2-x3, y2 = x2+x3, y3 = x3