Matrix Multiplication: Divide-and-Conquer

This lecture covers the Divide-and-Conquer algorithm for matrix multiplication, starting with a naive approach and then introducing the smart algorithm. The instructor explains how to divide matrices into submatrices, recursively multiply them, and combine the results efficiently. The lecture also delves into Strassen's Algorithm, which further optimizes matrix multiplication by reducing the number of scalar multiplications. The analysis of Strassen's method and its significance in beating the O(n^3) time complexity are discussed. Additionally, the lecture touches on the challenges of matrix multiplication and the trade-offs between different algorithms.