This text is designed for the sophomore level, first linear algebra course offered at both 2 and 4-year schools. Students taking this course are preparing for majors in math, computer science, physics, quantitative analysis, and engineering. Linear Algebra serves as a bridge between the intuitive/computational treatment usually found in freshman calculus and the more formal atmosphere of upper division courses. Most students enter linear algebra unaccustomed to working with abstracts concepts and inexperienced in communicating their thoughts in a clear and precise manner, yet their success in subsequent courses depends to a large extent on mastery of these skills. The challenge for them is to develop their mathematical sophistication while exploring the landscape of linear algebra

1.linear equations and matrices 2.applications of linear eqyations and matrices 3.determinants 4.vectors in Rⁿ 5.applications of vectors in R² 6.real vector spaces 7.applications of real vector 8.eigenvalues,eigenvectors,and diagonalization 9.applications of eigenvalues and eigenvectors 10.linear transformations and matrices 11.linear programming 12.MATLAB for linear algebra

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