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For every m, n ∈ N and every field K, let M(m × n,K) be the vector space of the (m×n)-matrices over K and let S(n,K) be the vector space… Click to show full abstract
For every m, n ∈ N and every field K, let M(m × n,K) be the vector space of the (m×n)-matrices over K and let S(n,K) be the vector space of the symmetric (n×n)matrices over K. We say that an affine subspace S of M(m× n,K) or of S(n,K) has constant rank r if every matrix of S has rank r and we say that a linear subspace S of M(m× n,K) or of S(n,K) has constant rank r if every nonzero matrix of S has rank r. Define
Keywords:
rank;
affine subspaces;
subspaces matrices;
constant rank;
matrices constant
Journal Title: Linear Algebra and its Applications
Year Published: 2022
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Journal Title: Linear Algebra and its Applications
Year Published: 2022
Link to full text (if available)
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recommendations!