4. Applied Linear Algebra

Chapter Learning Objectives

1. Apply linear algebra methods to model and solve (chemical) engineering problems

2. Master linear algebra concepts which form the basis for numerical methods and data analytics

Sections

• 4.1. Modeling Systems of Linear Equations
• 4.2. Gaussian Elimination
• 4.3. Invertible Matrix Theorem and Gaussian Elimination Example
• 4.4. LU Decomposition
• 4.5. Errors in Linear Systems
• 4.6. Example: Mass Balances and Linear Algebra
• 4.7. Linear Algebra Review and SciPy Basics

Coming Soon

• Vector and matrix norms

• Vector spaces

• Eigenvalues and eigenvectors

• Rank, trace, and determinant

• QR factorization