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Terminology

  • Linear algebra: focus on theory and proofs
  • Matrix algebra: focus on applications

Linear algebra application

  • Data Analysis: Utilizes matrix operations to construct data models, enabling comprehensive data examination and insights.
  • Computer Graphics: Facilitates 3D translations and rotations through rotation matrices and quaternions, enhancing visual representations.
  • Graph Theory: Employs matrices to solve complex problems, proving essential for air traffic control, internet infrastructure, social networks, brain studies, etc.
  • Problem Solving in Various Fields: Integral to addressing challenges in engineering, calculus, differential equations, finance, and other domains.
  • Foundation of Modern Computational Algorithms: Serves as the backbone for numerous contemporary computational methods and algorithms, driving advancements in technology and science.