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Mathematics 25 Online
OpenStudy (caozeyuan):

is it possible for a square matrix to have no zero row yet it does not have a full rank

OpenStudy (caozeyuan):

@ganeshie8 , any example of such matrix

OpenStudy (holsteremission):

Full rank for an \(n\times n\) matrix corresponds to \(n\) pivots, and pivots must be nonzero. So I would say no, it's not possible. A singular matrix can't have full rank.

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