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

单词

System of Equations

释义

System of Equations

Let a linear system of equations be denoted

(1)

where

is a Matrix and X and Y are Vectors. As shown by Cramer's Rule,there is a unique solution if

has a Matrix Inverse

. In this case,

(2)

, then the solution is

. If

has no Matrix Inverse, then the solutionSubspace is either a Line or the Empty Set. If two equations are multiples of each other, solutionsare of the form

(3)

for

a Real Number.

See also Cramer's Rule, Matrix Inverse

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