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Corank : ウィキペディア英語版
Corank
In mathematics, corank may refer to any of several related concepts, complementary to the concept of the rank of a mathematical object:
*The corank of an m\times n matrix is m-r where r is the rank of the matrix. Equivalently, by the fundamental theorem of linear algebra, it is the dimension of the left nullspace of the matrix.
*Generalizing matrices to linear transformations of vector spaces, the corank of a linear transformation is the dimension of the cokernel of the transformation, which is the quotient of the codomain by the image of the transformation.
*For a matroid with n elements and matroid rank r, the corank or nullity of the matroid is n-r. In the case of linear matroids this coincides with the matrix corank. In the case of graphic matroids the corank is also known as the circuit rank or cyclomatic number.
==See also==

*Sylvester's law of inertia

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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