Augmented Reality Based Application for Linear Algebra Visualization: Development of Interactive Learning Environment

Linear Algebra has been used in various engineering fields, such as machine learning, robotics, and artificial intelligence. However, learning it geometrically remains a challenging task, because it requires visualizing abstract concepts such as matrices and vector spaces. This paper aims to introduce an augmented reality framework for promoting spatial simulation in engineering students' Linear Algebra classes. In this paper, we provide a mobile-based augmented reality visualization framework of vectors, 2x2 matrix, 3x3 matrix, transformation matrix, determinant and other learning content of linear algebra. The user learns by interpreting the axis for the transformation part of the matrix for scaling, translation and rotation of a 3-D vector space. We then present how the 3x3 matrix and 4x4 matrix can be formulated and described under the proposed approach.