An Elementary Treatise on the Theory of Determinants: A Text-book for Colleges

a₁ b₁ c₁ a₁ b₂ An+1 b₁ c₂ b₂ c₂ b₂ C3 bg cz binomial binomial coefficients bz Cz c₁ d₁ coefficients complementary minors contains continued fraction d₂ denote deter determinant formed eliminate example expansion expressed factor fourth order functions given hence interchange inversions of order Jacobian linear equations m₁ minant multiplied notation nth degree nth order nth roots number of inversions obtained P₁ P₂ permutations Pfaffian preceding article principal diagonal proposition quantities quotient resultant roots roots of unity rows and columns second column second member skew symmetrical determinant square subscripts Substituting subtract symmetric function theorem third order values vanish variables Whence write Wronskian x₁ y₁ zero α₁ α₂ αι απ δαι δι а₁ аз бу буг ხვ Աշ