## A general theory of Vandermonde matricesCenter for Pure and Applied Mathematics, University of California,Berkeley, 1985 - Mathematics - 41 pages |

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a-algebraic a-conjugacy a-conjugate algebraic over F algebraic set assume automorphism Center for Pure column rank column space complex conjugation conjecture conjugacy class Corollary 24 cyclic extension define deg f deg g Dickson distinct division algorithm division ring equation equivalence Evaluating examples Exchange Lemma Excision Theorem f vanishes fact field F finite set forms a P-basis hence homomorphism induction integer invertible iff left independent left linear combination Lemma 9 Leroy Let f Let f(t linear algebra linear independence maximal P-independent minimal polynomial f(t monic multiplication n i n noncommutative algebra noncommutative setting noncommutative techniques nonsingular notion P-independent subset P-spanning set Proof Proposition 17 Pure and Applied quadratic quaternion division algebra reader right factor right polynomial right roots ring theory root of f row rank row space singular skew polynomial ring submatrix Theorem 19 Theorem 23 theory of P-independence tn-c transpose Vandermonde determinant