we are learning about matrix chain multiplication, and I have a question. How many possible ways are there to multiply a chain of "M" matrices? Please be detailed and explain what each part of the formula means.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section2.1: Matrices And Vectors
Problem 6P
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we are learning about matrix chain multiplication, and I have a question. How many possible ways are there to multiply a chain of "M" matrices? Please be detailed and explain what each part of the formula means.

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