Matrix Chain Multiplication: Optimal Substructure and Recursive Formula

This lecture covers the concept of matrix chain multiplication, focusing on optimal substructure and recursive formula. It explains how dynamic programming can be used to minimize the number of scalar multiplications in matrix multiplication. The instructor illustrates the importance of optimal parenthesization and provides examples to demonstrate the application of the recursive formula. The lecture concludes with a detailed explanation of the bottom-up algorithm for solving matrix chain multiplication problems efficiently.