求二次型f(x)=a(X1+X2+X3)^2+4X1X2+4X1X3+4X2X3经正交变化可化为标准f(x)=6X1^2,则实数a等于多少求f(x)=a(X1+X2+X3)^2+4X1X2+4X1X3+4X2X3经正交变化可化为标准f(x)=6X1^2,则实数a等于多少
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![求二次型f(x)=a(X1+X2+X3)^2+4X1X2+4X1X3+4X2X3经正交变化可化为标准f(x)=6X1^2,则实数a等于多少求f(x)=a(X1+X2+X3)^2+4X1X2+4X1X3+4X2X3经正交变化可化为标准f(x)=6X1^2,则实数a等于多少](/uploads/image/z/10886952-48-2.jpg?t=%E6%B1%82%E4%BA%8C%E6%AC%A1%E5%9E%8Bf%28x%29%3Da%28X1%2BX2%2BX3%29%5E2%2B4X1X2%2B4X1X3%2B4X2X3%E7%BB%8F%E6%AD%A3%E4%BA%A4%E5%8F%98%E5%8C%96%E5%8F%AF%E5%8C%96%E4%B8%BA%E6%A0%87%E5%87%86f%28x%29%3D6X1%5E2%2C%E5%88%99%E5%AE%9E%E6%95%B0a%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%E6%B1%82f%28x%29%3Da%28X1%2BX2%2BX3%29%5E2%2B4X1X2%2B4X1X3%2B4X2X3%E7%BB%8F%E6%AD%A3%E4%BA%A4%E5%8F%98%E5%8C%96%E5%8F%AF%E5%8C%96%E4%B8%BA%E6%A0%87%E5%87%86f%28x%29%3D6X1%5E2%2C%E5%88%99%E5%AE%9E%E6%95%B0a%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91)
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