Linear Transformations: Foundations and Matrices course

In this course,
you'll learn

Visualizing Transformations

You will explain linear transformations and visualize their geometric impacts on shapes and space.

Matrix Mastery for Transformations

You will confidently perform matrix operations (addition, subtraction, scalar multiplication, determinants, and inverses) for linear transformations.

The Transformative Power of the Transpose

You will understand the transpose operation, its properties, and how to apply it within linear transformations.

Linear Transformations in Action

You will apply linear transformations, matrices, and the transpose operation to solve real-world problems.

Your instructor

Tatev Aslanyan

Tatev brings industry experience, advanced AI/ML degrees, and a reputation as a thought leader in data science to LunarTech. Her publications in top journals and presentations at international conferences showcase her expertise.

Trusted by over 10.000 students

Course program

Here's a glimpse of what you'll learn throughout the course

Module 1

Introduction to Linear Transformations

Explore the fundamental concept of linear transformations, which change the space around us while preserving essential properties.

Module 2

Geometric Interpretations of Linear Transformations

Visualize how linear transformations manipulate shapes and space, including rotations, scaling, reflections, and more.

Module 3

Matrix Fundamentals

Learn the basic operations and algebraic laws that govern matrices, the essential tools for representing linear transformations.

Module 4

Determinants and Inverses

Discover determinants, which reveal key properties of matrices, and explore the concept of matrix inverses, which allow us to "undo" transformations.

Module 5

The Transpose: Properties & Applications

Understand the transpose operation, its properties, and its role in manipulating matrices for linear transformations.

Module 6

Applications of Transpose in Linear Transformations

See how the transpose operation is applied in real-world linear transformation scenarios, potentially including image manipulation, data analysis, and more.

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Why choose us

Focus on Your Success

LunarTech is invested in your goals, with personalized learning plans and support structures to help you overcome challenges.

Industry-Aligned Curriculum

Our courses are constantly updated to reflect the latest tools, techniques, and in-demand skills employers are seeking.

Hands-On Practice

Study on your schedule. SkillSprint is accessible 24/7, so you can learn at your pace, anytime, anywhere.

Flexible Learning

Study at your own pace, from anywhere and at any time, on your terms.

Certificate of Completion

Receive a SkillSprint certificate to showcase your new skills.

Lifetime Alumni Network

Even after graduation, stay connected to the LunarTech community for ongoing support, job opportunities, and industry insights.

Frequently asked questions

Need help? Check out our FAQ section for quick and easy solutions.

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Linear Transformations: Foundations and Matrices