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Advanced Linear Algebra by David Surowski
This note explains the following topics: Eigenvalues and Eigenvectors, The spectral theorem, Tensor Products, Fourier Analysis and Quadrtic Reciprocity.
Author(s): David Surowski
157 Pages
Linear Algebra, Theory And Applications
This is a book on linear algebra and matrix theory. It provides an introduction to various numerical methods used in linear algebra. This is done because of the interesting nature of these methods. Topics covered includes: Matrices And Linear Transformations, Determinant, Row Operations, Factorizations, Vector Spaces And Fields, Linear Transformations, Inner Product Spaces, Norms For Finite Dimensional Vector Spaces.
Author(s): Kenneth Kuttler
503 Pages
Differential Equations and Linear Algebra Lecture Notes (PDF 95P)
This book explains the following topics related to Differential Equations and Linear Algebra: Linear second order ODEs, Homogeneous linear ODEs, Non-homogeneous linear ODEs, Laplace transforms, Linear algebraic equations, Linear algebraic eigenvalue problems and Systems of differential equations.
Author(s): Simon J.A. Malham
95 Pages
Linear Algebra II Lecture Notes (PDF 61P)
This book explains the following topics related to Linear Algebra: Vectors, Linear Equations, Matrix Algebra, Determinants, Eigenvalues and Eigenvectors, Linear Transformations, Dimension, Similarity and Diagonalizability, Complex Numbers, Projection Theorem, Gram-Schmidt Orthonormalization, QR Factorization, Least Squares Approximation, Orthogonal (Unitary) Diagonalizability, Systems of Differential Equations, Quadratic Forms, Vector Spaces and the Pseudoinverse.
Author(s): John C. Bowman, University of Alberta
61 Pages
Lecture Notes on Linear Algebra (PDF 220P)
This book covers the following topics: Brief introduction to Logic and Sets, Brief introduction to Proofs, Basic Linear Algebra, Eigenvalues and Eigenvectors, Vector Spaces.
Author(s): Eleftherios Gkioulekas
220 Pages
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A Geometric Review of Linear Algebra
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Linear Algebra Done Wrong Sergei Treil
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Elements of Abstract and Linear Algebra
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PROBLEMS IN ALGEBRAIC COMBINATORICS
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Advanced Linear Algebra lecture notes (with real algorithm for the real Jordan form)
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Toeplitz and Circulant Matrices
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