Linear Algebra Tools: Vector Spaces to Matrix Factorization course

In this course,
you'll learn

Visualizing Change: Linear Transformations

You will explain the properties of linear transformations and visualize their effects on shapes and space.

Matrix Tools for Analysis

You will confidently perform essential matrix operations (addition, subtraction, scalar multiplication, determinants, inverses, and transpose) and understand their use in linear transformations.

Foundations of Vector Analysis

You will understand the basis of a vector space and apply vector projections to solve geometric problems.

Decoding Matrices

You will grasp the concepts of matrix factorization, recognize special matrices, and understand the principles of QR, Eigen, and Singular Value Decompositions.

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

Dive into the fundamentals of linear transformations, the mathematical operations that manipulate space while preserving specific properties.

Module 2

Geometric Interpretations of Linear Transformations

Learn how to visualize linear transformations, understanding how they rotate, scale, reflect, and distort shapes.

Module 3

Matrix Fundamentals

Master the basics of matrix operations, including addition, subtraction, and scalar multiplication, the essential tools for representing linear transformations.

Module 4

Determinants, Inverses, and the Transpose

Explore determinants, which reveal key insights into matrices, matrix inverses, which allow us to "undo" transformations, and the transpose, a powerful tool for matrix manipulation.

Module 5

Vector Space Foundations

Understand the concept of a vector space, the basis of these spaces, and how to perform vector projections, a geometric tool with wide applications.

Module 6

Matrix Factorization Power

Discover special matrices with unique properties and delve into matrix factorization, the process of breaking down matrices into simpler components for analysis and problem-solving. Explore powerful techniques like QR, Eigen, and Singular Value Decomposition (SVD).

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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.

Is the investment in your Data Science Bootcamp really worth it?

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Let’s do the math together:

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That breaks down to:

max $149.97/30 = $4.93 per day

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Linear Algebra Tools: Vector Spaces to Matrix Factorization