# Best Free Linear Algebra Courses

Do you want to learn Linear Algebra? Here we listed Best Free Linear Algebra Courses which will help you learn Linear Algebra, and are suitable for beginners, intermediate learners as well as experts.

## Linear Algebra Crash Course

What you’ll learn

• Solve any linear system
• Solve linear systems with parameters
• Solve linear systems with different numbers of variables and equations
• Know what is a Vector Space
• Determine if some vectors are dependent or not
• Linear combinations of vectors
• Check if a set of vectors is a base
• Know what are the coordinates of a vector in a given space
```Duration: 8hr 4min
Rating: 4.4 (339 ratings) out of 5
Trainer: Francesco Santi
URL: https://www.udemy.com/course/linear-algebra-crash-course/```

### Introduction to Linear Models and Matrix Algebra

What you’ll learn

• Matrix algebra notation
• Matrix algebra operations
• Application of matrix algebra to data analysis
• Linear models
• Brief introduction to the QR decomposition
```Duration: 4 Weeks {2–4 hours per week}
Trainer: Harvard University
URL: https://www.edx.org/course/introduction-to-linear-models-and-matrix-algebra```

#### Linear Algebra – Foundations to Frontiers

What you’ll learn

• Connections between linear transformations, matrices, and systems of linear equations
• Partitioned matrices and characteristics of special matrices
• Algorithms for matrix computations and solving systems of equations
• Vector spaces, subspaces, and characterizations of linear independence
• Orthogonality, linear least-squares, eigenvalues and eigenvectors
```Duration: 6 Weeks {6–10 hours per week}
Trainer: The University of Texas at Austin
URL: https://www.edx.org/course/linear-algebra-foundations-to-frontiers```

#### Advanced Linear Algebra: Foundations to Frontiers

What you’ll learn

• Deciphering a matrix using the Singular Value Decomposition
• Quantifying and qualifying numerical error
• Solving linear systems and linear least-squares problems
• Computing and employing eigenvalues and eigenvectors
```Duration: 15 Weeks {6–10 hours per week}
Trainer: The University of Texas at Austin
##### Linear algebra

What you’ll learn

• Vectors and spaces
• Matrix transformations
• Alternate coordinate systems (bases)
```Trainer: khanacademy
###### Mathematics for Machine Learning: Linear Algebra

What you’ll learn

• What linear algebra is and how it relates to vectors and matrices
• What vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors
• How the Pagerank algorithm works
• Understanding of vectors and matrices that will help you bridge the gap into linear algebra problems, and how to apply these concepts to machine learning
```Duration: Approx. 22 hours
Rating: 4.7 (5,492 ratings) out of 5
Trainer: David Dye, Samuel J. Cooper, A. Freddie Page
URL: https://www.coursera.org/learn/linear-algebra-machine-learning```
###### Linear Algebra Refresher Course

What you’ll learn

• Learn the basic operations on vectors (one of the fundamental objects of study in linear algebra).
• Code a library of functions to perform operations on vectors that you will use in later lessons.
• Learn the geometric and algebraic interpretation of intersections of “flat” objects and how to solve real-world problems.
• Write your own algorithm to find the intersections of sets of lines and planes.
```Duration: Approx. 4 Months
Trainer: Chris Pryby
URL: https://www.udacity.com/course/linear-algebra-refresher-course--ud953```

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