线性代数特征值和特征向量证明题Let u be an eigenvector of A corresponding to an eigenvalue p ,and let H be the line in R^n through u and the origin .Explain why H is variant under A in the sense that Ax is in H whenever x is in H .Let K

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线性代数特征值和特征向量证明题Let u be an eigenvector of A corresponding to an eigenvalue p ,and let H be the line in R^n through u and the origin .Explain why H is variant under A in the sense that Ax is in H whenever x is in H .Let K

线性代数特征值和特征向量证明题Let u be an eigenvector of A corresponding to an eigenvalue p ,and let H be the line in R^n through u and the origin .Explain why H is variant under A in the sense that Ax is in H whenever x is in H .Let K
线性代数特征值和特征向量证明题
Let u be an eigenvector of A corresponding to an eigenvalue p ,and let H be the line in R^n through u and the origin .
Explain why H is variant under A in the sense that Ax is in H whenever x is in H .
Let K be a one-dimensional subspace of R^n that is invariant under A .Explain why Kcontains an eigenvector of A .

线性代数特征值和特征向量证明题Let u be an eigenvector of A corresponding to an eigenvalue p ,and let H be the line in R^n through u and the origin .Explain why H is variant under A in the sense that Ax is in H whenever x is in H .Let K