Visualizing the inner product space R~(m×n) in a MATLAB-assisted linear algebra classroom

摘要

This linear algebra note offers teaching and learning ideas in the treatment of the inner product space R~(m×n) in a technology-supported learning environment. Classroom activities proposed in this note demonstrate creative ways of integrating MATLAB technology into various properties of Frobenius inner product as visualization tools that complement the algebraic approach. As implemented in linear algebra lessons in a university in the Unites States, the article also incorporates algebraic and visual work of students who experienced these activities with MATLAB software. The connection between the Frobenius norm and the Euclidean norm is also emphasized.