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Matrix Analysis and Operator Theory
PI Edward Poon
Matrices and operators are ubiquitous throughout science, engineering, and mathematics; they are the transformations that arise whenever one studies a linear system (or approximates a nonlinear system by a linear one). Examples include rotations and reflections (rigid motions of space), spin operators (quantum mechanics and quantum computing), stress tensors (mechanics), regression and curve fitting (statistics and data analysis), derivatives and linear differential operators (dynamical systems), to name just a few. By studying various properties, relations, and transformations of matrices and operators one may obtain insight into a wide range of phenomena.
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Simulation Based Inquiry Oriented Linear Algebra
CO-I Ashish Amresh
Games that teach introductory concepts in linear algebra such as vectors, span and dependence are created to be used by instructors in an undergraduate class.
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