Matrix Chain Multiplication | Dynamic Programming
In this video, I will show you how to fill in the table for the Matrix Chain Multiplication problem. It uses Dynamic Programming. Matrix Chain Multiplication will allow you to multiply matrices together in a way such that the cost is minimum. Matrix chain multiplication is an optimization problem concerning the most efficient way to multiply a given sequence of matrices. The problem is not actually to perform the multiplications, but merely to decide the sequence of the matrix multiplications involved. The problem may be solved using dynamic programming. On the other hand, Dynamic programming is both a mathematical optimization method and a computer programming method. The method was developed by Richard Bellman in the 1950s and has found applications in numerous fields, from aerospace engineering to economics. Dynamic Problems come up a lot in computer science and programming interviews.
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