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User:Rogério Brito/Books/Applied Linear Algebra

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Selected Topics on Applied Linear Algebra

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Numerical and Theoretical Applied Linear Algebra

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Background
Rank (linear algebra)
Symmetric matrix
Spectral theorem
Bilinear form
Definite bilinear form
Positive-definite matrix
Characteristic polynomial
Minimal polynomial
Cayley–Hamilton theorem
Special Matrices
Toeplitz matrix
Circulant matrix
Hermitian matrix
Hessenberg matrix
Tridiagonal matrix
Sparse matrix
Gram matrix
Initial Applications
Least squares
Linear least squares
Moore-Penrose pseudoinverse
Moore–Penrose pseudoinverse/Proofs
Decompositions and Algorithms
Gaussian elimination
Gauss–Jordan elimination
LU decomposition
Cholesky decomposition
Symbolic Cholesky decomposition
QR decomposition
Singular value decomposition
Eigendecomposition of a matrix
Jacobi eigenvalue algorithm
Numerical stability
Linear Algebra and Statistics
Linear Regression
Variance
Covariance
Covariance matrix
Correlation
Uncorrelated