A concise summary of the core concepts in linear algebra.

In the attached document I cover fundamental topics such as vectors, matrices, systems of linear equations, and transformations.

Understanding these concepts is essential for tackling a wide range of mathematical and real-world problems.

Content Summary

• Vectors
  • Arithmetic
  • Magnitude
  • Parallel and orthogonal vectors
  • Vector projection
  • Basis vectors
  • Linear dependence and independence
• Matrices
  • Arithmetic
  • Elementary operations
  • Elementary Matrix
  • Determinant
  • Laplace Formula
  • Decomposition methods

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