A matrix-decomposition theorem for GLn(K
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Florian BΓΌnger; Klaus Nielsen
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Article
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1999
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Elsevier Science
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English
β 101 KB
Given an arbitrary commutative field K, n β N 3 and two monic polynomials q and r over K of degree n -1 and n such that q(0) = 0 = r(0). We prove that any non-scalar invertible n Γ n matrix M can be written as a product of two matrices A and B, where the minimum polynomial of A is divisible by q and