Solve Matrix Questions: Reduce Rows in a Large Matrix

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SUMMARY

This discussion focuses on reducing rows in a large matrix by identifying and marking redundant rows, specifically those that are multiples of one another. It clarifies that while one cannot ignore any part of a matrix, for the purpose of determining its rank, duplicate rows can be effectively replaced with a row of all zeros. The conversation emphasizes the importance of understanding linear mappings represented by matrices and the implications of row reduction techniques.

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Derill03
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Can someone help me understand how i can reduce rows in a large matrix? Not row reduction, just wen i can mark out rows that are redundant, i think if rows are multiples of each other you can mark out some of those rows?
 
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In what sense are you talking? A matrix is a representation of a linear map - you can't ignore any of it. If, however, you want to know its rank, then of course one can 'remove' duplicate rows, or rows that are multiples of one another. ('Remove' is wrong - replace by the row of all zeros would be a better idea.)
 

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