Matrix Chain Multiplication in C

Matrix Chain Multiplication

Matrix Chain Multiplication in c is a clever puzzle in Computer Science. Imagine having a list of matrices that need to be multiplied together. The trick is to figure out the best way to group them with parentheses, so you use the least number of multiplication steps. This puzzle pops up in designing efficient algorithms and gets solved using smart dynamic programming methods.

Let’s understand this problem using example:-

Input

Output with Explanation

the matrices order will be

There are two methods to multiply these three matrices.

In this example of (mat1*mat2)*mat3, the minimum number of multiplications is 18000

Dynamic programming optimizes matrix multiplication in C program by minimizing scalar multiplications.

Program of Matrix Chain Multiplication in C

Output

Matrix Chain Multiplication in C

 

 

 

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