作业帮线性代数特征值和特征向量证明题
来源：学生作业帮 编辑：作业帮 分类：英语作业 时间：2024/10/04 18:44:13
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 .
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 .
