3Blue1Brown: Matrix Multiplication as Composition - Chapter 4 Quiz

This quiz assesses a deep, intuitive understanding of matrix multiplication as the composition of linear transformations, as presented in 3Blue1Brown's 'Essence of linear algebra' Chapter 4. Questions are designed to be challenging, focusing on conceptual grasp and geometric reasoning rather than rote calculation. Topics covered include the definition of linear transformations, matrix-vector multiplication, the right-to-left reading of matrix products, the derivation of composite matrix columns, and the geometric interpretations of non-commutativity and associativity. Mastery of these concepts is essential for a true understanding of linear algebra beyond mere computation.