“SymmetricMatrix”的概念、定义、习题解题方法及翻译-数学辞典

单词	SymmetricMatrix
释义	symmetric matrix Definition: Let $A=(a_{ij})$ be a square matrix oforder $n$ . The matrix $A$ is symmetric if $a_{ij}=a_{ji}$ for all $1\\leq i\\leq n,1\\leq j\\leq n$ . $A=\\begin{pmatrix}a_{11}&\\cdots&a_{1n}\\\\\\vdots&\\ddots&\\vdots\\\\a_{n1}&\\cdots&a_{nn}\\end{pmatrix}$ Properties: 1. $A^{t}=A$ where $A^{t}$ is the matrix transpose Examples: • $\\begin{pmatrix}a&b\\\\b&c\\end{pmatrix}$ • $\\begin{pmatrix}a&b&c\\\\b&d&e\\\\c&e&f\\end{pmatrix}$
随便看	AlgebraicNumber algebraic number AlgebraicNumbersAreCountable algebraic numbers are countable AlgebraicNumberTheory algebraic number theory AlgebraicRepresentationOfRelationComposition algebraic representation of relation composition AlgebraicSetsAndPolynomialIdeals algebraic sets and polynomial ideals AlgebraicSinesAndCosines algebraic sines and cosines AlgebraicSumAndProduct algebraic sum and product AlgebraicSystem algebraic system AlgebraicTorus algebraic torus Algebramodule algebra (module) AlgebraMultilinealDeEvEuclideanos Algebra multilineal de e.v. euclideanos Algebras algebras AlgebraWithoutOrder

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symmetric matrix