3. Matrix Operations

In this chapter, several important classes of transformations, like rotations projections and reflections, are investigated. They turn out to be members of a general class of matrix transformations or, equivalently, linear transformations. In particular, this allows us to define a matrix-matrix product.

• 3.1. Linear Transformations
• 3.2. Matrix Operations
• 3.3. Some Important Classes of Linear Transformations
• 3.4. The Inverse of a Matrix
• 3.5. Injectivity, Surjectivity, and Bijectivity
• 3.6. The \(LU\) decomposition