Abstract
Recall that the rank of an m x n matrix A over a field k is the maximum number of linearly independent rows (or columns) of A. It is the dimension of the image of the linear map kn → km defined by A; equivalently, it is n minus the dimension of the kernel (the set of vectors in kn annihilated by the map).
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© 1992 Springer-Verlag New York, Inc.
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Kozen, D.C. (1992). Matrix Rank. In: The Design and Analysis of Algorithms. Texts and Monographs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4400-4_33
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DOI: https://doi.org/10.1007/978-1-4612-4400-4_33
Publisher Name: Springer, New York, NY
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