Rank–nullity theorem
The rank–nullity theorem is a theorem in linear algebra, which asserts that the dimension of the domain of a linear map is the sum of its rank (the dimension of its image) and its nullity (the dimension of its kernel).
Rank–nullity theorem - Wikipedia Jump to content From Wikipedia, the free encyclopedia "Rank theorem" redirects here. For the rank theorem of multivariable calculus, see constant rank theorem . In linear algebra, relation between 3 dimensions Rank–nullity theorem The rank–nullity theorem is a theorem in linear algebra , which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity of M ; and the dimension of the domain of a linear transformation f is the sum of the rank of f (the dimension of the image of f ) and the nullity of f (the dimension of the kernel of
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