Linear Algebra - Complete Guide with Practical Examples

Learn vector spaces , abstract vector spaces , linear transformations, inner product, orthogonality, cross product
2.33 (6 reviews)
Udemy
platform
English
language
Math
category
instructor
Linear Algebra - Complete Guide with Practical Examples
3โ€ฏ013
students
3.5 hours
content
Nov 2021
last update
$19.99
regular price

Why take this course?

๐Ÿš€ Course Title: Linear Algebra - Complete Guide with Practical Examples

๐ŸŽ“ Headline: Dive into Vector Spaces, Abstract Concepts & More with Mastering Linear Algebra!


Are you ready to unlock the secrets of Linear Algebra? If your answer is a resounding "Yes!" then this course is your golden ticket to mastering one of the most powerful and fundamental areas of mathematics. ๐Ÿงฎโœจ

Linear algebra is not just a set of formulas; it's the language through which modern mathematicians, scientists, and engineers describe shapes, solve problems, and make groundbreaking discoveries. This course will take you on a journey through the core concepts that underpin geometry, functional analysis, data science, machine learning, cryptography, and much more! ๐ŸŒ๐Ÿš€


What You'll Learn:

  • Real n-dimensional vector spaces: Discover the building blocks of linear algebra and understand how vectors can define spaces of any dimension.
  • Abstract vector spaces: Grasp the abstract axioms that make vector spaces versatile and adaptable to various mathematical structures.
  • Linear Transformations: Learn how to map vectors into new spaces while preserving key properties, which is crucial for understanding how systems can transform without losing information.
  • Inner Product: Explore the mathematical tool that allows us to measure the angle between two vectors and define lengths in higher dimensions.
  • Orthogonality: Master the concept of orthogonality, which enables efficient solutions to complex problems by decomposing them into simpler parts.
  • Cross Product: Understand this geometric application that gives a vector representing the area of parallelograms formed by two vectors in three dimensions.
  • Subspaces: Analyze the subsets within a vector space that also behave like a space.
  • Lines of Independence: Explore the concept of linear independence, which plays a key role in understanding the structure of vector spaces.
  • Bases for Vector Spaces: Learn how to form bases for any vector space and understand their significance in creating a reference system.
  • Dimension: Discover the dimension of a vector space and its importance in determining how 'spread out' or 'packed together' vectors are within that space.
  • Matrix Rank: Analyze the rank of a matrix to determine its structure and the independence of its columns.
  • Eigen Vectors & Eigen Values: Dive into the powerful concepts that allow us to simplify complex matrices, making them easier to work with.
  • Matrix Diagonalization: Learn how to transform a given matrix into a diagonal form, which can simplify calculations and provide deeper insights into its nature.

Why Take This Course? ๐ŸŒŸ

  • Comprehensive Overview: Get a broad yet detailed understanding of linear algebra through real-world examples and practice problems.
  • Flexible Learning: Study at your own pace, from the comfort of your home, without the constraints of traditional university schedules.
  • Cost-Effective: Save on tuition fees while gaining access to high-quality instruction and materials that would typically cost much more.
  • Career Advancement: Enhance your resume and skill set, making you a more valuable asset in industries such as finance, engineering, computer science, and beyond.
  • Engaging Content: Benefit from interactive lessons, real examples, and practical exercises that will ensure you grasp the material on a deeper level.

Who is this course for?

Whether you're a student looking to strengthen your mathematical foundations, a professional seeking to apply linear algebra in your field, or simply an enthusiast eager to explore new mathematical realms, this course is tailored for you. With a focus on practical applications, this course will equip you with the skills and knowledge to tackle complex problems with confidence.

๐Ÿ“† Enroll now and embark on your journey through the fascinating world of linear algebra! ๐ŸŽ“๐Ÿ’ซ

Loading charts...

1522792
udemy ID
23/01/2018
course created date
20/11/2019
course indexed date
Bot
course submited by