Step through the full algorithm, identifying the max pivot, swapping rows, and performing elimination sequentially down the submatrices.
Enter numbers separated by spaces or commas. Exactly 5 rows and 5 columns.
In practice, algorithms like LU decomposition process the matrix recursively. After successfully zeroing out the first column, the software conceptually ignores row 0 and column 0. It then scans the smaller submatrix starting at (1,1) to find the next largest absolute pivot. This structured descent isolates operations and keeps cache-memory localized, running continuously until the matrix achieves its final upper-triangular REF.