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...Lecture notes on linear algebra david lerner department of mathematics university kansas these are a course given in fall and to the honors sections our elementary their comments corrections have greatly improved exposition c d e contents matrices matrix examples operations with systems equations form system row augmented more variables solution vector notation corresponding echelon reduced gauss jordan third operation continued properties algorithm for gaussian elimination observations why does work application s ax y homogeneous solutions some about free leading homogenous mn combinations superposition principle inhomogeneous choosing dierent particular square inverses related matters when is an constructing i determinants introduction aside computer arithmetic formal denition det consequences computations using additional determinant derivative as redening generalization higher dimensions subspaces linearly dependent independent sets dependence independence basis dimension concept r...