 Computational complexity of matrix multiplication

The computational complexity of matrix multiplication depends on the algorithms used for the task. 1. **Naive Matrix Multiplication**: The most straightforward method for multiplying two \( n \times n \) matrices involves three nested loops, leading to a time complexity of \( O(n^3) \). Each element of the resulting matrix is computed by taking the dot product of a row from the first matrix and a column from the second.