Fundamentals to Linear Algebra course

In this course,
you'll learn

Ready to Ace Linear Algebra Exam

Equip yourself to excel in academic examinations with a deep understanding of linear algebra, ensuring mastery over complex mathematical principles and problem-solving techniques.

Deep Conceptual Understanding

Students and professionals will achieve a robust understanding of linear algebra fundamentals and advanced topics, enabling them to tackle complex mathematical problems and enhance their analytical thinking.

Career Enhancement

Prepare for significant career advancements by mastering skills that are in high demand across industries, particularly in technology and engineering (Machine Learning and AI), positioning you as a valuable asset in any workforce like.

Practical Application Skills

Participants will learn to apply linear algebra techniques directly to real-world scenarios in data science, machine learning, and AI, improving their ability to develop algorithms and solve technical challenges efficiently.

Your instructor

Tatev Aslanyan

Tatev brings industry experience, advanced AI/ML degrees, and a reputation as a thought leader in data science to LunarTech. She holds Bachelors and Masters degrees in STEM. 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

Fundamental Concepts in Linear Algebra and RoadMap 2024

This module reinforces essential pre-requisites like real numbers, vector norms, and geometric basics using the Cartesian coordinate system, setting a strong foundation for advanced linear algebra applications as well as Linear Algebra RoadMap for 2024

Module 2

Vector Spaces and Operations

This module delves deep into vector operations, covering fundamental concepts, special vectors, and operations such as dot products and the Cauchy-Schwarz inequality, Linear Combination, Geometric Intuition and Interpretation emphasizing their applications in machine learning and analytical geometry.

Module 3

Matrices and Matrix Operations

This module introduces the foundational concepts of matrices, including their types and structures, and delves into basic matrix operations such as addition, subtraction, and scalar multiplication, as well as Matrix Multiplications essential for performing more complex algebraic manipulations.

Module 4

Solving Systems of Linear Equations

This module covers advanced techniques like Gaussian elimination, REF, RREF (reduces row echelon forms) and the applications of matrices in solving linear systems, null space, column space, basis and ranks, emphasizing critical thinking and problem-solving skills in algebra.

Module 5

Matrix Laws and Transformations

Dives Deep into the concepts of matrix determinant, inverses and transpose operations, detailing methods for calculating inverses of 2x2 and 3x3 matrices and their practical applications, while also explaining the significance of these transformations in relation to the dot product and matrix functionality.

Module 6

Advanced Linear Algebra - From Projections to Matrix Factorization

This unit delves into sophisticated concepts in vector spaces and matrix operations, including projections, the Gram-Schmidt process, special matrix properties, matrix factorizations, and decompositions like QR and SVD, equipping students with advanced tools for complex problem-solving in data science and AI.

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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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Fundamentals to Linear Algebra