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Linear Algebra Problems - Department of Mathematics

Linear Algebra ProblemsMath 504 505 Jerry L. KazdanTopics1 Basics2 Linear Equations3 Linear Maps4 Rank One Matrices5 Algebra of Matrices6 Eigenvalues and Eigenvectors7 Inner Products and Quadratic Forms8 Norms and Metrics9 Projections and Reflections10 Similar Matrices11 Symmetric and Self-adjoint Maps12 Orthogonal and Unitary Maps13 Normal Matrices14 Symplectic Maps15 Differential Equations16 Least Squares17 Markov Chains18 The Exponential Map19 Jordan Form20 Derivatives of Matrices21 Tridiagonal Matrices22 Block Matrices23 Interpolation24 Dependence on Parameters25 Miscellaneous ProblemsThe level of difficulty of these Problems varies wildly. Some are entirely appropriate for ahigh school course.

Linear Algebra Problems Math 504 – 505 Jerry L. Kazdan Topics 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

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