I. Definitions and Fundamental Operations of MatricesII. Definition and Properties of DeterminantsIII. Adjugate and Reciprocal Matrix: Solution of Simultaneous Equations: Rank and Linear DependenceIV. Cauchy and Laplace Expansions: Multiplication TheoremsV. Compound Matrices and Determinants: Dual TheoremsVI. Special Determinants: Alternant Persymmetric Bigradient Centrosymmetic Jacobian Hessian Wronskian
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