# Linear Algebra Foundations

Created:
2019-02-14

Updated:
2019-02-14

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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