Linear Algebra. Many phenomena in the world have an underlying structure which follows basic algebraic rules. One of these structures is the vector space and linear algebra is the area of mathematics that has been developed to model phenomena that satisfy this structure. Competencies acquired in the successful study of linear algebra not only make it possible to study and understand the development of vector space models but also provide the foundation for the study of more advanced algebraic structures. The following competencies have been identified as essential for comparable preparation in this content area: Competency 1: Solving Systems of Linear Equations Competency 2: Matrix Arithmetic Competency 3: Determinants Competency 4: Vector Spaces Competency 5: Inner Product Spaces Competency 6: Eigentheory Competency 7: Linear Transformations See Appendix D: Competencies for Preparation in Linear Algebra.
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