Linear algebra—particularly matrix theory—constitutes a foundational mathematical pillar in the domains of computer graphics and image processing. This paper establishes a linkage between fundamental matrix operations and image processing techniques, and presents a comprehensive analysis of their applications in the construction of virtual environments, spanning from elementary geometric transformations to sophisticated physics-based simulation algorithms. The objective of this study is to provide students with an intuitive yet practically grounded perspective, thereby narrowing the divide between abstract mathematical theory and real-world engineering applications. Furthermore, it serves as a pedagogical resource for instructors, enabling them to elucidate matrix operations through illustrative image processing examples in the classroom.