List of linear-algebra notes:

• Pythagorean Theorem
• Hermitian conjugate
• Cayley Transform
• Vector norm
• Generalized null spaces
• Unitary matrices
• Characteristic polynomial
• Induced matrix norm
• Hölder and Cauchy-Schwarz inequalities
• Rank-one perturbation
• Singular value decomposition
• Eigenvalue decomposition
• Matrix factorizations
• Dual norm
• Projector
• Vandermonde Matrix
• Reduced SVD
• Matrix-vector multiply
• QR Factorization
• Stability of Gaussian Elimination
• LU Factorization
• Householder triangularization
• Gram-Schmidt process
• Cholesky factorization
• Least squares problem
• Pseudoinverse
• Jacobi method
• Iterative methods for matrices
• QR Iteration
• Schur Factorization
• Hessenberg reduction
• Krylov method
• Arnoldi iteration
• Simultaneous iteration
• Inverse iteration
• Rayleigh quotient
• Rayleigh quotient iteration
• Power iteration
• Conjugate gradients
• Matrix groups and linear groups