While evaluating the rank of a matrix is it permissible to apply row and column operations simultaneously on a single matrix? Most of the books that I discussed use either row or column operation (but not both) to evaluate the rank. May I apply both on a single matrix to evaluate rank?
2026-03-27 04:18:39.1774585119
Row & Column Operation to Determine Rank
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The rank of a matrix is invariant under application of elementary row and column operations.
So the answer is yes: Any mixture of row and column operations may be applied to determine the rank.