Certain Aspects of the Theory of Equations for a Pair of Matrices |
Contents
Introduction | 2 |
A BBA³ 0 | 6 |
Properties P and P₂ for Second Order Matrices | 25 |
6 other sections not shown
Common terms and phrases
a₁ a₂ associated B₁ b₁₂ B₁T b₂ c₁ c₂ charac characteristic equation classic canonical form columns common invariant direction Commutative Matrices Corallary d₁ d₂ distinct characteristic values distinct elementary divisors distinct roots equa equal characteristic values equation of F example form of type k₁ K₁₂ k₂ left invariant direction Lemma linear elementary divisors main diagonal minimum equation necessary and sufficient non-singular matrices non-singular second order notation P₂ Pairing of Characteristic property P3 R₁ R₂ right invariant direction rows S₂ scalar second equation second order matrices Section square matrix ß₁ ß₂ ß³ sufficient condition teristic values THEORY OF EQUATIONS Third Order Matrices tic values tion transform U₂ V₁ V₂ values of F X's and B's X₁ Y₁ zero matrix α₁ α₁₁ α₁₂ α₂ αι βι ΙΔΙ