Linear Algebra

Introduction
Create and manipulate matrices. Work with the entries of a matrix. Perform matrix arithmetic.
Creating Matrices
Create matrices from scratch and from other matrices
Operations on Matrices
Algebraic manipulations with matrices. Compute the inverse, determinant, and trace of a matrix. Find the rank, nullspace, and row echelon form of a matrix.
Eigenvalues and Eigenvectors
How to compute eigenvalues and eigenvectors

- Example: Determinant of a Hilbert Matrix
- Computing the Permanent
- Working with Vectors
- Working with Square Matrices
- Working with One-Dimensional Arrays
- Working with Two-Dimensional Arrays
- Conversion (Polynomials of Matrices)