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The course includes videos, notes from whiteboard during lectures, and practice problems (with solutions. ). I also show every single step in examples and proofs. The course is organized into the following topics:

  • Vectors

  • Basic Matrix Algebra

  • Linear Systems

  • Subspaces, Linear Spans, and Solution Spaces

  • Linear Dependence, Basis, and Dimension

  • Projections and Cross Products

  • Lines and Planes

  • Intersections and Distances

  • Square Matrices

  • Determinants

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The course includes videos, notes from whiteboard during lectures, and practice problems (with solutions. ). I also show every single step in examples and proofs. The course is organized into the following topics:

  • Vectors

  • Basic Matrix Algebra

  • Linear Systems

  • Subspaces, Linear Spans, and Solution Spaces

  • Linear Dependence, Basis, and Dimension

  • Projections and Cross Products

  • Lines and Planes

  • Intersections and Distances

  • Square Matrices

  • Determinants

I share all my solving-problem techniques using examples. I show a variety of math issue you may encounter in class and make sure you can solve any problem by yourself.

Notes: In each section, you will find my notes as downloadable resource that I wrote during lectures. So you can review the notes even when you don't have internet access (but I encourage you to take your own notes while taking the course. ).

Assignments: After you watch me doing some examples, now it's your turn to solve the problems. Be honest and do the practice problems before you check the solutions. If you pass, great. If not, you can review the videos and notes again before moving on to the next section.

#2: Downloadable lecture notes so you can review the lectures without having a device to watch/listen.

#3: Ten problem sets at the end of each section (with solutions. ) for you to do more practice.

#4: Step-by-step guide to help you solve problems.

See you inside the course.

- Gina :)

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Teaches foundational-level linear algebra, which is a cornerstone of mathematics and valuable for understanding the underlying principles of machine learning, data science, computer science, and engineering
Provides a structured and clear approach to learning linear algebra, breaking down concepts into digestible chunks and offering a variety of practice problems to reinforce understanding
Includes downloadable notes for offline review, allowing learners to reinforce their understanding and prepare for exams or projects
Course content is presented in a clear and concise manner, with step-by-step explanations and visual aids
Covers a comprehensive range of topics in linear algebra, from the fundamentals to more advanced concepts
May require additional resources or support for learners with limited background in linear algebra or mathematics

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Ace Linear Algebra in 10 Hours (The Complete Course) with these activities:
Read 'Linear Algebra and Its Applications' by Gilbert Strang
This book provides a comprehensive overview of linear algebra and its applications.
Show steps
  • Read the book thoroughly.
  • Take notes on the important concepts.
  • Work through the practice problems.
Brush up on matrix algebra
Reviewing matrix algebra will make the course material much more understandable.
Browse courses on Matrix Algebra
Show steps
  • Read through your old notes or textbook.
  • Do some practice problems.
  • Take a practice quiz.
Create a study guide
Creating a study guide will help you organize the material and focus your studies.
Show steps
  • Gather your notes, handouts, and other course materials.
  • Organize the material into sections.
  • Create summaries of the key concepts.
  • Add practice problems and solutions.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Solve practice problems
Solving practice problems will reinforce the concepts you learn in class.
Show steps
  • Find a problem set online or in a textbook.
  • Work through the problems.
  • Check your answers.
Form a study group
Studying with other students to improve your understanding of the material and makes the experience more enjoyable.
Show steps
  • Find a group of students who are taking the same course.
  • Meet regularly to discuss the material.
  • Work together on problem sets and projects.
Create a concept map
Creating a concept map will help you visualize the relationships between the different concepts in the course.
Show steps
  • Identify the main concepts in the course.
  • Create a diagram that shows the relationships between the concepts.
  • Add details to the diagram as you learn more about the course material.
Contribute to an open-source linear algebra project
This is a great way to apply your skills and learn from others.
Show steps
  • Find an open-source project that you are interested in contributing to.
  • Contact the project leader.
  • Start contributing to the project.

Career center

Learners who complete Ace Linear Algebra in 10 Hours (The Complete Course) will develop knowledge and skills that may be useful to these careers:
Data Scientist
Data Scientists use mathematical and statistical techniques to extract insights from data. This course may be useful for aspiring Data Scientists, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze data, identify patterns, and make predictions.
Machine Learning Engineer
Machine Learning Engineers use mathematical and statistical techniques to develop and implement machine learning algorithms. This course may be useful for aspiring Machine Learning Engineers, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze data, identify patterns, and make predictions.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical techniques to assess risk and make investment decisions. This course may be useful for aspiring Quantitative Analysts, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze financial data, identify trends, and make predictions.
Actuary
Actuaries use mathematical and statistical techniques to assess risk and make financial decisions. This course may be useful for aspiring Actuaries, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze financial data, identify trends, and make predictions.
Artificial Intelligence Engineer
Artificial Intelligence Engineers use mathematical and statistical techniques to develop and implement AI systems. This course may be useful for aspiring Artificial Intelligence Engineers, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze data, identify patterns, and make predictions.
Statistician
Statisticians use mathematical and statistical techniques to collect, analyze, and interpret data. This course may be useful for aspiring Statisticians, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze data, identify patterns, and make predictions.
Financial Analyst
Financial Analysts use mathematical and financial techniques to analyze and make investment recommendations. This course may be useful for aspiring Financial Analysts, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze financial data, identify trends, and make predictions.
Risk Analyst
Risk Analysts use mathematical and statistical techniques to assess risk and make decisions. This course may be useful for aspiring Risk Analysts, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze risk data, identify trends, and make predictions.
Data Engineer
Data Engineers use mathematical and statistical techniques to design, develop, and implement data systems. This course may be useful for aspiring Data Engineers, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze data, identify patterns, and make predictions.
Investment Analyst
Investment Analysts use mathematical and financial techniques to analyze and make investment recommendations. This course may be useful for aspiring Investment Analysts, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze financial data, identify trends, and make predictions.
Business Analyst
Business Analysts use mathematical and statistical techniques to analyze business data and make recommendations. This course may be useful for aspiring Business Analysts, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze data, identify trends, and make predictions.
Operations Research Analyst
Operations Research Analysts use mathematical and analytical techniques to help organizations improve their efficiency and productivity. This course may be useful for aspiring Operations Research Analysts, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to optimize processes, allocate resources, and make decisions.
Economist
Economists use mathematical and statistical techniques to analyze economic data and make predictions. This course may be useful for aspiring Economists, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop models that can be used to analyze economic data, identify trends, and make predictions.
Software Engineer
Software Engineers use mathematical and logical techniques to design, develop, and implement software systems. This course may be useful for aspiring Software Engineers, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop algorithms and data structures that are used in software systems.
Computer Scientist
Computer Scientists use mathematical and logical techniques to design, develop, and implement computer systems. This course may be useful for aspiring Computer Scientists, as it provides a strong foundation in linear algebra, a subject that is heavily used in this field. Linear algebra is used to develop algorithms and data structures that are used in computer systems.

Reading list

We've selected 14 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Ace Linear Algebra in 10 Hours (The Complete Course).
Provides a comprehensive treatment of linear algebra that is both rigorous and accessible. It valuable reference for anyone who wants to learn more about this subject and the book is commonly used as a textbook at academic institutions.
This classic textbook provides a clear and concise introduction to linear algebra. It good choice for students who are new to the subject and the book is commonly used as a textbook at academic institutions.
Provides a gentle introduction to linear algebra. It good choice for students who want to learn the basics of the subject and the book is commonly used as a textbook at academic institutions.
Provides a comprehensive treatment of linear algebra with a focus on applications. It good choice for students who want to learn how to use linear algebra to solve real-world problems and the book is commonly used as a textbook at academic institutions.
Provides a modern introduction to linear algebra. It good choice for students who want to learn about the latest developments in the subject and the book is commonly used as a textbook at academic institutions.
Provides a comprehensive treatment of matrix analysis and applied linear algebra. It valuable reference for anyone who wants to learn more about this subject and the book is commonly used as a textbook at academic institutions.
Provides a gentle introduction to linear algebra for a general audience. It good choice for students who want to learn the basics of the subject and the book is commonly used as a textbook at academic institutions.
Provides a comprehensive treatment of linear algebra. It valuable reference for anyone who wants to learn more about this subject and the book is commonly used as a textbook at academic institutions.
Provides a clear and concise introduction to linear algebra. It good choice for students who are new to the subject and the book is commonly used as a textbook at academic institutions.
Provides a comprehensive treatment of linear algebra with a focus on applications. It good choice for students who want to learn how to use linear algebra to solve real-world problems and the book is commonly used as a textbook at academic institutions.
Provides a matrix-based approach to linear algebra. It good choice for students who want to learn about the subject in a more abstract way and the book is commonly used as a textbook at academic institutions.
Provides an abstract introduction to linear algebra. It good choice for students who want to learn about the subject in a more theoretical way and the book is commonly used as a textbook at academic institutions.
Provides a comprehensive treatment of linear algebra and geometry. It valuable reference for anyone who wants to learn more about these subjects.

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