MATH 344 - Section 2.3 Composition of Linear Transformations

In this video lecture, we prove that the composition of linear maps is linear (Theorem 2.9), discuss the algebra of linear maps (Theorem 2.10), show that the matrix (in ordered bases) of a composition is the product of matrices of the factors (Theorem 2.11) and discuss the algebra of matrices (Theorem 2.12).