Unless I always misunderstood it, that’s what column-major implies: a column is stored contiguously in memory, so you want to have subsequent iterations of your loop access elements in the same column as much as possible. You do this by going row-by-row down the first column, then moving to the second column (which is not contiguous in memory to the first column) and going through all elements in that column row-by-row, and so on.
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