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linear AlgebraDavid Cherney, Tom Denton, Rohit Thomas and Andrew Waldron2 Edited by Katrina Glaeser and Travis ScrimshawFirst Edition. Davis California, work is licensed under aCreative Commons Attribution-NonCommercial-ShareAlike Unported What is linear algebra ? Organizing Information .. What are Vectors? .. What are linear Functions? .. So, What is a Matrix? .. Multiplication is Composition of Functions .. Matrix Detour .. Review Problems .. 302 Systems of linear Gaussian Elimination .. Matrix Notation .. and the Act of Solving .. Row Echelon Form .. Sets and RREF .. Review Problems .. Elementary Row Operations .. and Matrices .. EROs in (M|I) .. Three Elementary Matrices .. ,LDU, andPLDUF actorizations .. Review Problems.

Linear algebra is the study of vectors and linear functions. In broad terms, vectors are things you can add and linear functions are functions of vectors that respect vector addition.

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