Topic: Linear Algebra Beyond the Reals

Vector Spaces Over Finite Fields

Solving Linear Systems Modulo p

Row Reduction Over F_p

Prime Fields and Modular Arithmetic

Polynomial Spaces Over Finite Fields

Polynomial Evaluation Over Finite Fields

Parity-Check Matrices and Syndromes

p-Ary Hamming Codes from Projective Columns

Linear Codes as Subspaces

How the Field Changes Rank and Invertibility