Become a Linear Algebra Master

) 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' 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.

HERE' Provides an academic foundation of linear algebra to prepare for applied or programming-based courses.” - Christopher C.

YOU'

I can't wait for you to get started on mastering Linear Algebra.

- Krista :)