 # Essential Linear Algebra for Data Science

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• Linear Systems and Gaussian Elimination
• In this module we will learn what a matrix is and what it represents. We will explore how a system of linear equations can be expressed in a neat package via matrices. Lastly, we will delve into coordinate systems and provide visualizations to help you understand matrices in a more well-rounded way.
• Matrix Algebra
• In this module we will learn how to solve a linear system of equations with matrix algebra.
• Properties of a Linear System
• In this module we will explore concepts and properties of linear systems. This includes independence, basis, rank, row space, column space, and much more.
• Determinant and Eigens
• In this module we will discuss projections and how they work. We will build on a foundation using 2-dimensional projections and explore the concept in higher dimensions over time.
• Projections and Least Squares
• In this module we will learn how to compute the determinant of a matrix. Afterwards, Eigenvalues and Eigenvectors will be covered.

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