Linear algebra is one of the most fundamental branches in mathematics. A thorough grounding in linear algebra enhances one’s ability to reason abstractly and to model real-world problems in a standardized way. This book aims to provide a comprehensive, rigorous but accessible introduction to linear algebra from an advanced standpoint. It gives the reader a sound grasp of what linear algebra is all about and how it is used in various applications.

## What you’ll learn in Become a Linear Algebra Master

1. Solving linear systems and Gauss-Jordan elimination are two operations on a single matrix.
2. Matrix multiplication and elimination matrices are examples of two-matrix operations.
3. Linear combinations and span, linear independence, and subspaces are all possible with matrices as vectors.
4. Cauchy-Schwarz and vector triangle inequalities are examples of dot products and cross products.
5. The null and column spaces, as well as solving Ax=b, are all matrices-vector products.
6. Linear transformations, projections, and the composition of transformations are examples of transformations.
7. Solving systems with inverse matrices, which includes invertible and singular matrices.
8. Lower and upper triangular matrices, as well as Cramer’s rule, are determinants.
9. The null (left null) and column (row) spaces of a transpose, as well as their determinants
10. Orthogonality and basis change, including orthogonal complements, projections onto a subspace, least squares, and basis change.
11. Gram-Schmidt and orthonormal bases, including defining an orthonormal basis and using the Gram-Schmidt process to convert to an orthonormal basis.
12. Finding eigenvalues and their associated eigenvectors and eigenspaces, as well as eigen in three dimensions.

## Requirements

• Fundamentals of Math, such as arithmetic (addition, subtraction, multiplication, division) of positive and negative numbers, fractions, and decimals, should be second nature to you.
• Equation solving, graphing, factoring, as well as exponents and roots, should all be second nature to you.
• To solve Linear Algebra problems, you’ll only need Fundamentals and Algebra, so if you already have that foundation, you’ll be fine.

## Description

HOW TO BECOME A MASTER OF LINEAR ALGEBRA IS DESIGNED TO MAKE COMPLICATED MATH EASY:
Become a Linear Algebra Master is a 247-lesson course that includes video and text explanations of everything from Linear Algebra, as well as 69 quizzes (with solutions!) and 12 workbooks with extra practice problems to help you test your understanding along the way.

AND THIS IS WHAT YOU WILL FIND INSIDE EACH SECTION:
Watch as I solve problems for every single math issue you’ll face in class. I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer once you get it.

Quizzes: When you think you’ve got a good handle on a topic in a course, you can put your knowledge to the test by taking one of the quizzes; if you pass, great; if you don’t, you can go back over the videos and notes or ask for help in the Q&A section.

## Who this course is for:

• Current Linear Algebra students, or students about to start Linear Algebra who are looking to get ahead
• Anyone who wants to study math for fun after being away from school for a while
• Anyone who needs Linear Algebra as a prerequisite for Machine Learning, Deep Learning, Artificial Intelligence, Computer Programming, Computer Graphics and Animation, Data Analysis, etc.