Linear Algebra Problems

Dingyu Xue, YangQuan Chen
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引用次数: 1

Abstract

1 Basics 2 Linear Equations 3 Linear Maps 4 Rank One Matrices 5 Algebra of Matrices 6 Eigenvalues and Eigenvectors 7 Inner Products and Quadratic Forms 8 Norms and Metrics 9 Projections and Reflections 10 Similar Matrices 11 Symmetric and Self-adjoint Maps 12 Orthogonal and Unitary Maps 13 Normal Matrices 14 Symplectic Maps 15 Differential Equations 16 Least Squares 17 Markov Chains 18 The Exponential Map 19 Jordan Form 20 Derivatives of Matrices 21 Tridiagonal Matrices 22 Block Matrices 23 Interpolation 24 Dependence on Parameters 25 Miscellaneous Problems
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线性代数问题
1基础2线性方程3线性映射4秩一矩阵5矩阵代数6特征值与特征向量7内积与二次型8范数与度量9投影与反射10相似矩阵11对称与自伴随映射12正交与酉映射13正规矩阵14辛映射15微分方程16最小二乘17马尔可夫链18指数映射19约当形式20矩阵的导数21三对角矩阵22块矩阵23插值,参数依赖,杂项问题
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