Find Rank of a Matrix in Seconds! | Linear Algebra Exercises

To find the rank of a matrix by inspection, we must try to identify how many linearly independent rows or columns it has. If the matrix or its transpose is in row echelon form, this can be done by counting the number of nonzero rows or columns. Otherwise, we need to consider linear combinations of the rows or columns and how one might be created from the others. We do several practice problems in this video, in each case finding the matrix rank with little more than a pinch of thought. #linearalgebra

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[novusnori]

Will there be a situation where the rank of a row is 2 and column is 3 for example? If yes, do we say the rank is 2 because it's the lower number?