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Extend a basis of the kernel to a basis of the finite-dimensional domain. The images of the added basis vectors form a basis of the range, giving nullity+rank=domain dimension.

Conditions: The linear map is defined on a finite-dimensional domain.; A basis for the kernel has been identified.

Extend a basis of the kernel to a basis of the finite-dimensional domain. The images of the added basis vectors form a basis of the range, giving nullity+rank=domain dimension.

Conditions: The linear map is defined on a finite-dimensional domain.; A basis for the kernel has been identified.