###### tags: `linear-algebra` Note on Linear Algebra === - [Rank of a Matrix](/TOFVUiLnQvGd-w2KxWbZzw) - [Particular and Homogeneous Holutions](/ZwEs0NAUSa6ZFFFFfF8Pfw) - [Fundamental Theorems of Linear Algebra](/9XdaIiGaRuOHnhahrw-cpw) - [Projection](/R8g_2yp5SrScLTZyK87qKw) - [Invertible Matrix](/Ex5XG5h1RqyLb3Dy6CgZYQ) - [Diagonalizable Matrix](/FZ0laYDATtKKQn3LM-AluQ) - [Symmetric Matrix](/v-PmJxWLSu2wK0z-qTLxTQ) - [Positive-definite Matrix](/ePYkaGOET_SLXES_a5LY0w) - [Orthogonal Matrix](/ymOpRlTtQlGgTDXq2f2ltQ) - [Similar Matrix](/1DKkKMUETvGU4hQ9PdSoVg) Eigenvalues and eigenvectors --- - [Eigenvalues and Eigenvectors](/GBF_aQypQ663uIQCAe2buw) Decomposition --- - [Jordan Form](/OFY0nD-0RRm-_p-Jcj80MA) - [Rank Decomposition](/5sKfwHskQI2DmFsByE1y0Q) - [LU Decomposition](/_nQeQBc_RiukZa3MSngJWg) - [Jordan Decomposition](/txHw4Q92Srim6KYbBqWpIg) - [Eigendecomposition](/XH8bHneRR6C4vfrWYDyOQA) - [Cholesky Decomposition](/aAwngP20Sa-RhiUHGLSUMA) - [QR Decomposition](/BP8u2tvsRqCwfBr0lMTmcQ) - [Singular-value Decomposition](/sZjk4W-VQCiBPRv0axX8tg) - [Schur Decomposition](/ggPBzGagTSO5bwtmdbMULQ) Linear transformation --- Applications --- - [Low-rank Approximation (Eckart–Young theorem)](/Z0t3H8mJQd6nLqv2Q-i8iA) - [Ordinary Least Square](/RV-xGxoNR5a55aYWzvAotA) - [Total Least Square](/4VkAIZXGRiiQTucWyDJ8tg) - [Moore–Penrose Inverse](/LRDcM7GkTMu5lwl1DA52OA) - [Quadratic Curves](/HxOSSauATFqdz2In2weidA) Numerical linear algebra --- - [Multiplication](/DVve_ArfQyqbEEXlVtF9Bw) - [Transpose](/NVn9TQIZQEC1GdSB3zPq5g) Miscellaneous --- - [Gram–Schmidt Process](/ZRdTho_eSFuonEn1XrEQBA) - [Name of Matrix](/u-gUuAQXQqCeOCZ35mi-gQ) ## Reference [The-Art-of-Linear-Algebra](https://github.com/kenjihiranabe/The-Art-of-Linear-Algebra/tree/main) [Immersive Linear Algebra](http://immersivemath.com/ila/tableofcontents.html) [Interactive Linear Algebra](https://textbooks.math.gatech.edu/ila/systems-of-eqns.html) [ULAFF](http://www.ulaff.net/) [Nick Higham](https://nhigham.com/blog/)
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