10 Best Linear Algebra Courses and Certifications Online 2023

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There are countless online courses and classes that will help you enhance your Linear Algebra abilities and earn your Linear Algebra certificate.

In this article, our specialists have put together a curated list of the 10 Best of the Best Linear Algebra courses, tutorials, training programs, classes and certifications that are available online right now.

We have included only those courses that satisfy our top quality requirements. We have actually put a great deal of effort and time into gathering these all for you. These courses are suitable for all levels, beginners, intermediate students, and experts.

Here’s a look at these courses and what they have to offer for you!

10 Best Linear Algebra Courses and Certifications Online

Course Name	Enrolled Students (Count)	Reviews (count)
1. Become a Linear Algebra Master Our Best Pick	26732+	3707+
2. Complete linear algebra: theory and implementation in code	25828+	3821+
3. Learn Algebra The Easy Way!	6447+	1380+
4. Master Linear Algebra 2020: The Complete Study Of Spaces	6015+	382+
5. College Level Advanced Linear Algebra! Theory & Programming!	5937+	376+
6. Linear Algebra for Beginners: Open Doors to Great Careers	4614+	495+
7. Complete Linear Algebra for Data Science & Machine Learning	4074+	652+
8. Linear Algebra Mathematics for Machine Learning Data Science	3937+	274+
9. “PCA & multivariate signal processing, applied to neural data”	3920+	369+
10. Linear Algebra and Geometry 1	3042+	383+

1. Become a Linear Algebra Master by Krista King Udemy Course Our Best Pick

“Learn everything from Linear Algebra, then test your knowledge with 400+ practice questions”

As of right now, more than 26732+ people have enrolled in this course and there are over 3707+ reviews.

Course Content

Getting started
Operations on one matrix
Operations on two matrices
Matrices as vectors
Dot products and cross products
Matrix-vector products
Transformations
Inverses
Determinants
Transposes
Orthogonality and change of basis
Orthonormal bases and Gram-Schmidt
Eigenvalues and Eigenvectors
Final exam and wrap-up

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2. Complete linear algebra: theory and implementation in code by Mike X Cohen Udemy Course

“Learn concepts in linear algebra and matrix analysis, and implement them in MATLAB and Python.”

As of right now, more than 25828+ people have enrolled in this course and there are over 3821+ reviews.

Course Content

Introductions
Get the course materials
Vectors
Introduction to matrices
Matrix multiplications
Matrix rank
Matrix spaces
Solving systems of equations
Matrix determinant
Matrix inverse
Projections and orthogonalization
Least-squares for model-fitting in statistics
Eigendecomposition
Singular value decomposition
Quadratic form and definiteness
Bonus section

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3. Learn Algebra The Easy Way! by Organic Chemistry Tutor Udemy Course

“Algebra Review – Slope, Graphing Linear Equations, Exponents, Factoring, Solving Quadratic Equations, & Radicals”

As of right now, more than 6447+ people have enrolled in this course and there are over 1380+ reviews.

Course Content

“Introduction
Basic Arithmetic – Addition, Subtraction, Multiplication, and Division
Fractions Review Tutorial
Solving Linear Equations
Order of Operations
Graphing Linear Equations
Linear Inequalities and Absolute Value Expressions
Polynomials
Factoring
Systems of Linear Equations
Quadratic Equations
Rational Expressions
Radical Expressions
Complex Imaginary Numbers
Exponential and Logarithmic Functions
Functions
Conic Sections
Arithmetic & Geometric Sequences”

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4. Master Linear Algebra 2020: The Complete Study Of Spaces by Kody Amour Udemy Course

Learn How to Define Space And How it is Characterized And Measured. We Make Linear Algebra Math Fun And Easy.

As of right now, more than 6015+ people have enrolled in this course and there are over 382+ reviews.

Course Content

“Introduction Video
Introduction
Matrices and Their Properties
Vector Spaces and Linear Transformations
Orthogonality, Norms and Inner Product Spaces
Eigenvalues
Conclusion”

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5. College Level Advanced Linear Algebra! Theory & Programming! by “Ahmed Fathy, MSc” Udemy Course

“Linear Algebra (matlab – python) & Matrix Calculus For Machine Learning, Robotics, Computer Graphics, Control, & more !”

As of right now, more than 5937+ people have enrolled in this course and there are over 376+ reviews.

Course Content

“Introduction To The Course
Introduction To Matrices : Linear Independence And Matrix Multiplication
Introduction To Gaussian Elimination And Matrix Inverse
Test Your Self ! – Exam 1 !
The Computer Graphics Section !
The Robotics Section !
Test Your Self ! – Exam 2 !
Test Your Self ! – Exam 3 !
EigenValues & EigenVectors ( I ) : Introduction
EigenValues & EigenVectors ( II ) : Difference Equations
EigenValues & EigenVectors ( III ) : Differential Equations
Test Your Self ! – Exam 4 !
Matrix Inverse Using Cofactors & The Cayley Hamilton Theorem
Back To Systems Of Linear Equations ! – The Matrix Rank
The Four Sub-spaces Of A Matrix
Solving The Unsolvable : Linear Regression, Projection Matrix & Normal Equation
Test Your Self ! – Exam 5 !
A Section On Symmetric Matrices
A Section On Machine Learning And DataScience
Appendix A – The Lagrange Multipliers
The Principal Component Analysis (PCA)
Test Your Self ! – Exam 6 !
The Singular Value Decomposition (SVD)
The Pseudo Inverse Of A Matrix
Test Your Self ! – Exam 7 !
The LU Decomposition
A Video On Positive Definite Matrices – Will Come Back In A Subsequent Section !
Appendix B : The Taylor Expansion
Back To Positive Definite Matrices !
Determinants !
Matrix Calculus – I : The Basics
Matrix Calculus II : On The Relation Between The Jacobian And Double Integrals
Matrix Calculus – III : More On Matrix Calculus
Test Your Self ! – The Final Exam !
EXTRA – I :: Homogeneous Coordinates And The Projection Matrix Derivation !
BONUS : Get My Other Courses !”

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6. Linear Algebra for Beginners: Open Doors to Great Careers by Richard Han Udemy Course

“Learn the core topics of Linear Algebra to open doors to Computer Science, Data Science, Actuarial Science, and more!”

As of right now, more than 4614+ people have enrolled in this course and there are over 495+ reviews.

Course Content

Introduction
Solving Systems of Linear Equations
Vectors
Matrix Operations
Properties of Matrix Addition and Scalar Multiplication
The Inverse of a Matrix
Determinants
Properties of Determinants
Vector Spaces
Subspaces
Span and Linear Independence
Basis and Dimension
Concluding Letter

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7. Complete Linear Algebra for Data Science & Machine Learning by “Kashif A., Abdullah A.” Udemy Course

“Linear Algebra for Data Science, Big Data, Machine Learning, Engineering & Computer Science. Master Linear Algebra”

As of right now, more than 4074+ people have enrolled in this course and there are over 652+ reviews.

Course Content

Welcome and Introduction
Basics of Matrices
Basics of Matrices (Continued)
Matrices and Systems of Linear Equations
Matrix Algebra and Operations
Determinant of a Matrix
Inverse of a Matrix
Properties of Determinants
*** OPTIONAL: Introduction to Vectors
Vector Spaces
Subspace and Nullspace
Span and Spanning Sets
Linear Dependence and Independence
Basis and Dimension
Eigenvalues and Eigenvectors
Basic Algebra Concepts (Additional Lessons)
Congratulations and Bonus Material

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8. Linear Algebra Mathematics for Machine Learning Data Science by Manifold AI Learning ® Udemy Course

“Go Zero to Pro – Complete linear algebra – Mathematics for data science, machine learning & Deep Learning”

As of right now, more than 3937+ people have enrolled in this course and there are over 274+ reviews.

Course Content

Vectors Basics
Vector Projections
Basis of Vectors
Matrix Basics from High school
Matrices – Setting up the stage – Transformations
Gaussian Elimination
Einstein Summation convention – Non Orthogonal basis – Gram Schmidt Process
Eigen Problems
Google Pagerank Algorithm
SVD – Singular Value Decomposition
Pseudo Inverse
Matrix Decompositions
Solving the Linear Regression using Matrix Decomposition methods
Linear Regression from Scratch
Linear Algebra in Natural Language Processing
Linear Algebra for Deep Learning – Getting started with Pytorch
Linear Regression Using Pytorch
Python Basics
Python for Data Science
Basics of Statistics
Appendix : Python for Data Science

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9. “PCA & multivariate signal processing, applied to neural data” by Mike X Cohen Udemy Course

Learn and apply cutting-edge data analysis techniques for “big neurodata” (theory and MATLAB/Python code)

As of right now, more than 3920+ people have enrolled in this course and there are over 369+ reviews.

Course Content

Introduction
Download all course materials
Dimensions and sources
Linear algebra crash course
Creating and interpreting covariance matrices
Dimension reduction with PCA
Source separation with GED
Source separation for steady-state responses
Independent components analysis (ICA)
Overfitting and inferential statistics
Big questions in multivariate neuroscience
Bonus section

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10. Linear Algebra and Geometry 1 by “Hania Uscka-Wehlou, Martin Wehlou” Udemy Course

“Systems of equations, matrices, vectors, and geometry”

As of right now, more than 3042+ people have enrolled in this course and there are over 383+ reviews.

Course Content

“Introduction to the course
Some basic concepts
Systems of linear equations; building up your geometrical intuition
Solving systems of linear equations; Gaussian elimination
Some applications in mathematics and natural sciences
Matrices and matrix operations
Inverses; Algebraic properties of matrices
Elementary matrices and a method for finding A inverse
Linear systems and matrices
Determinants
Vectors in 2-space, 3-space, and n-space
Distance and norm in R^n
Dot product, orthogonality, and orthogonal projections
Cross product, parallelograms and parallelepipeds
Lines in R^2
Planes in R^3
Lines in R^3
Geometry of linear systems; incidence between lines and planes
Distance between points, lines, and planes
Some words about the next course
Extras”

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Here are some frequently asked questions about learning Linear Algebra

How Long Does It Take to Learn Linear Algebra?

The answer to the question “How long does it ttake to learn Linear Algebra” is … it depends. Everybody has different needs, and everyone is operating in different circumstances, so the answer for a single person might be completely different than for someone else.

Consider these questions: What are you trying to Learn Linear Algebra for? Where is your starting point? Are you a novice or do you have experience with Linear Algebra? Just how much can you practice? 1 hour per day? 40 hours per week? Take a look at this course about Linear Algebra.

Is Linear Algebra Easy Or Hard to Learn?

No, learning Linear Algebra isn’t hard for the majority of people. Check this course on how to Learn Linear Algebra in no time!

How to Learn Linear Algebra Fast?

The fastest way to Learn Linear Algebra is to first get this Linear Algebra course, then practice whatever you learn whenever you can. Even if its simply 15 minutes a day of practice. Consistency is key.

Where to Learn Linear Algebra?

If you want to explore and learn Linear Algebra, then Udemy provides you the best platform to learn the Linear Algebra. Check this course on how to Learn Linear Algebra in no time!

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