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monic_polynomial
has definitions from the field of mathematics
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[ noun ] (mathematics) a polynomial in one variable
Used in print (Kenneth Hoffman and Ray Kunze, Linear Al...)We can do this through the characteristic values and vectors of T in certain special cases , i.e. , when the minimal polynomial for T factors over the scalar_field F into a product of distinct monic_polynomials of degree 1 . Let p be the minimal polynomial for T , * * f where the * * f are distinct irreducible monic_polynomials over F and the * * f are positive integers . If T is a linear_operator on an arbitrary vector space and if there is a monic_polynomial p such_that * * f , then parts ( a ) and ( b ) of Theorem 12 are valid for T with the proof which we gave . Related terms |
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