Linear Algebra

matrices, pivots, row operations, echelon form, consistency, unique/infinite solutions

span, vectors, linear independence, vector equations

Transformation, image, matrix representation, linearity

Spaces, subspaces, theorems

Kernel, image, rank, injective, surjective

Link between a matrix transpose, its range and its row space

cofactor expansion, properties, invertibility

invertible matrices, elementary operations, row equivalence, similar matrices

Coordinate application, change of basis for a vector and linear application, and methods to follow step by step