Matrices, Determinants and Rank
Matrix algebra rules that differ from numbers (non-commutativity, transposes and inverses of products, trace), special matrices (symmetric, skew-symmetric, orthogonal, idempotent, nilpotent, involutory, triangular) and what each forces, row operations and the determinant, det(kA), cofactor expansion, the adjugate identities and the 2 x 2 inverse, rank by row reduction with the rank rules for products, sums and transposes, and counting 0/1 matrices, including a solved past question.