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linearly independent subset in Singular http://www.singular.unikl.de/forum/viewtopic.php?f=10&t=2527 
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Author:  gstic [ Fri May 13, 2016 11:33 am ] 
Post subject:  linearly independent subset in Singular 
Dear friends, I have two problems to solve with Singular: problem 1 I have a matrix with components rational numbers I want to select a maximal linearly independent subset from columns. Problem 2 Note S = Q[x, y, z] and S_d = the set of homogeneous polynomials of degree d. I have a set of vectors (f, g, h), where f, g, h are from S_d. I want to select a maximal linearly independent vectors (S ^ 3 as a vector space over Q) For both problems, I want a subset unchanged. Thank you in advance 
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