## Linear Algebra Guides and Articles

## Working with matrices

- Matrix notation and the size of a matrix
- Adding and subtracting matrices, and multiplying a matrix by a constant
- Multiplying matrices (includes animation of the process)
- Multiplying matrices on the TI83 or 84 calculator

- The identity matrix

- What is an inverse matrix?

## Systems of linear equations

- Augmented matrices and systems of linear equations
- Row operations
- Row reduction with the TI 83/84 calculator
- General solutions to systems of equations

## Vectors

- Linear combinations of vectors – the basics
- How to determine if a vector is a linear combination of other vectors

## Transformations

- Introduction to linear transformations
- Showing a transformation is linear using the definition
- Matrix transformations
- Proof that every matrix transformation is a linear transformation
- The standard matrix of a linear transformation