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...求一个正交变换x=Py,把二次型f(x1,x2,x3)化为标准型

发布网友 发布时间:2024-10-23 11:22

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热心网友 时间:2024-10-30 08:02

二次型的矩阵为 A=400032020
由 .A?λE.=.4?λ0003?λ202?λ.=(4-λ)[(-λ)(3-λ)-4]=0,
解得 λ1=λ2=4,λ3=-1
λ1=λ2=4时,解方程(A-4E)x=0,
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二次型的矩阵为 A=400032020
由 .A?λE.=.4?λ0003?λ202?λ.=(4-λ)[(-λ)(3-λ)-4]=0,
解得 λ1=λ2=4,λ3=-1
λ1=λ2=4时,解方程(A-4E)x=0,
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