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This article summarises activities that happened during the first three weeks of a fictitious high-school-level linear algebra section that used magic squares as a teaching tool to inspire students to further investigate the topics. The author has been working with students from high school and college levels for years, and although this situation can be considered very realistic, it was not based on a single classroom, it is a product of imagination based on actual experience. This study focuses in the development of activities related to linear algebra with use of technology. An active learning method was used as the main strategy to motivate discovery. It aligns with the Australian Curriculum not only for the encouragement of using computers and calculators but also for helping the student understand the concepts and techniques in matrices and apply reasoning skills to solve problems with matrices, which are learning outcomes from Unit 2 Specialist Mathematics.