Theorems

Vector Space 1

Vector Space 2

Basis Lemma

Linear Independence 1

Linear Independence 2

Linear Independence 3

Rank-Nullity Theorem

One-to-one and Onto

Basis Determine Linear Transformation

Inverse of LT gives inverse of a matrix

Inverse of LM has matrix inverse

Isomorphic and same dimension

Identity Matrix and Basis Change

Change of Basis

Change of Basis For LT