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...Lecture notes on matrix analysis mark w meckes april contents linear algebra background fundamentals matrices and maps rank eigenvalues factorizations svd the fundamental theorem of arst application moore penrose inverse spectral theorems polar decomposition involving triangular simultaneous hermitian variational formulas inequalities for two majorization norms vector special classes duality radius unitarily invariant some topics in solving systems condition numbers sparse signal recovery positive semi denite characterizations kronecker hadamard products locations perturbations gersgorin circle eigenvalue non nonnegative perron s irreducible stochastic markov chains reversible convergence rates graph theory adjacency laplacian if you need to brush up best source is course by elizabeth cambridge uni versity press wewill use f stand either set real r or complex c this class we will deal only with nite dimensional spaces over basics terms which should be comfortable space subspace span li...