Search results for “sine”
Categories
170 results
Linear Operator
Theory
A linear operator and its matrix, the action x' = Ax, similar matrices, and the formula B = C⁻¹AC.
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Теория вероятностей, Листок 1
Problem sheet
Задачный листок к курсу теории вероятностей. Институт и учебное заведение в исходных публикациях не указаны, поэтому здесь не названы.
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A non-Noetherian local ring with finitely generated maximal ideal
Notes
A complete local ring with a finitely generated maximal ideal is Noetherian. Drop completeness and it fails: an ultraproduct construction gives a non-Noetherian local ring whose maximal ideal is principal.
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Determinant via Permutations
Theory
The direct definition of a determinant via permutations: inversions, parity, and a sum of n! terms.
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Properties of Determinants
Theory
The basic properties of determinants with brief proofs, and their use in simplifying computations.
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Matrix Rank
Theory
Minors and the rank of a matrix, invariance of rank under elementary transformations, and a practical method for computing it.
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