Matrix Chain Multiplication

This lecture covers the dynamic programming algorithm for matrix chain multiplication, explaining the bottom-up approach to find the optimal solution. It discusses the algorithm for recovering an optimal solution and provides examples of matrix dimensions and instances. The instructor also explains the choice of where to make the outermost parenthesis and the overlapping subproblems. Additionally, the lecture introduces the concept of the longest common subsequence, defining it as a non-consecutive subsequence common to two sequences.