Linear Algebra and Geometry 1 from Udemy

Overview

“Linear Algebra and Geometry 1” is an online course that delves into systems of equations, matrices, vectors, and geometry. The course is divided into several chapters, each focusing on a specific topic, and covers various concepts and applications ranging from basic to more complex algebra, geometry, and analytical geometry.

The course begins with an introduction to systems of linear equations and their basic concepts, followed by chapters on matrices and determinants, vectors and their products, and analytical geometry of lines and planes. Throughout the course, students will learn how to apply matrix algebra, compute the inverse of a matrix using Gauss-Jordan elimination, utilize the dot product and cross product, and determine equations for lines and planes in various geometric settings. Whether you’re a math enthusiast or just looking to sharpen your skills, this comprehensive course is designed to provide a solid foundation in linear algebra and geometry.

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Skills you’ll learn

1. Solve systems of linear equations using Gaussian elimination.
2. Perform matrix operations and work with different types of matrices.
3. Compute the inverse of a matrix using Gauss-Jordan elimination.
4. Utilize determinants to solve equations and derive explicit formulas.
5. Execute arithmetic operations for vectors in various dimensions.
6. Compute distances and norms between points and vectors.
7. Describe and determine equations for lines and planes in different dimensions.
8. Calculate intersections and distances between lines and planes using equations.

Summary

Dive into the fascinating world of Linear Algebra and Geometry, masterfully taught by the dynamic duo of Hania Uscka-Wehlou and Martin Wehlou. This incredibly comprehensive course boasts an astounding 223 lessons, attracting over 4,600 eager students. The top-notch quality of instruction has deemed it deserving of a stellar 4.8 out of 5 rating. Don’t miss the opportunity to elevate your mathematical prowess through this exceptional learning experience.