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Rank and mullity

Created over 8 years ago, updated 10 days ago

Rank and nullity measure the dimensions of key subspaces associated with a matrix. The rank is the dimension of the column space (or row space), while the nullity is the dimension of the null space. These are connected by the rank-nullity theorem: $\text{rank}(A) + \text{nullity}(A) = n$ for an $m \times n$ matrix.