What you'll learn
Operations on one matrix, including solving linear systems, and Gauss-Jordan elimination
Operations on two matrices, including matrix multiplication and elimination matrices
Matrices as vectors, including linear combinations and span, linear independence, and subspaces
Dot products and cross products, including the Cauchy-Schwarz and vector triangle inequalities
Matrix-vector products, including the null and column spaces, and solving Ax=b
Transformations, including linear transformations, projections, and composition of transformations
Inverses, including invertible and singular matrices, and solving systems with inverse matrices
Determinants, including upper and lower triangular matrices, and Cramer's rule
Transposes, including their determinants, and the null (left null) and column (row) spaces of the transpose
Orthogonality and change of basis, including orthogonal complements, projections onto a subspace, least squares, and changing the basis
Orthonormal bases and Gram-Schmidt, including definition of the orthonormal basis, and converting to an orthonormal basis with the Gram-Schmidt process
Eigenvalues and Eigenvectors, including finding eigenvalues and their associate eigenvectors and eigenspaces, and eigen in three dimensions

Requirements
You should be comfortable with the Fundamentals of Math, like arithmetic (addition, subtraction, multiplication, division) of positive and negative numbers, fractions, and decimals.
You should be comfortable with Algebra, like equation solving, graphing, and factoring, plus exponents and roots.
You'll only need Fundamentals and Algebra to solve Linear Algebra problems, so if you have that foundation, you'll be well prepared for this course.

Description
HOW BECOME A LINEAR ALGEBRA MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:

This 247-lesson course includes video and text explanations of everything from Linear Algebra, and it includes 69 quizzes (with solutions!) and an additional 12 workbooks with extra practice problems, to help you test your understanding along the way. Become a Linear Algebra Master is organized into the following sections:

Operations on one matrix, including solving linear systems, and Gauss-Jordan elimination

Operations on two matrices, including matrix multiplication and elimination matrices

Matrices as vectors, including linear combinations and span, linear independence, and subspaces

Dot products and cross products, including the Cauchy-Schwarz and vector triangle inequalities

Matrix-vector products, including the null and column spaces, and solving Ax=b

Transformations, including linear transformations, projections, and composition of transformations

Inverses, including invertible and singular matrices, and solving systems with inverse matrices

Determinants, including upper and lower triangular matrices, and Cramer's rule

Transposes, including their determinants, and the null (left null) and column (row) spaces of the transpose

Orthogonality and change of basis, including orthogonal complements, projections onto a subspace, least squares, and changing the basis

Orthonormal bases and Gram-Schmidt, including definition of the orthonormal basis, and converting to an orthonormal basis with the Gram-Schmidt process

Eigenvalues and Eigenvectors, including finding eigenvalues and their associate eigenvectors and eigenspaces, and eigen in three dimensions

AND HERE'S WHAT YOU GET INSIDE OF EVERY SECTION:

Videos: Watch over my shoulder as I solve problems for every single math issue you'll encounter in class. We start from the beginning... 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 when you get it.

Notes: The notes section of each lesson is where you find the most important things to remember. It's like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don't.

Quizzes: When you think you've got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.

Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that 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.
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https://www.udemy.com/course/linear-algebra-course/
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