Topics Related to the Factorization of Matrices |
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A₂ Abstract Algebra B₁ B₂ Bete common left multiple commutative companion matrix Consider Corollary 1.8 degree kn degree less direct product divisor of Q elements in F exist a unimodular family of right greatest common divisor h₁(A Hence Hermite form i+p+1 James Henry Bell kn unknowns least common left left associates linear linearly dependent M. H. Ingraham M₂ MacDuffee main diagonal element matrices with elements maximum degree modular modulo necessary and sufficient non-singular obtained occurs parameter parametric family polynomial principal ideal ring problem proper of degree proper right divisors quasi-field relatively prime sufficient condition Theorem 1.4 thesis tk₂ unilateral equation unilateral matrix equation unimodular matrix unique solution uniquely determined University of Wisconsin X₂ zero λι