벡터의 경우
An indexed set of vectors
is said to be
linearly independent if the vector equation
has only the trivial solution. The set
is said to be
linearly dependent if there exist weights
not all zero, such that
(Lay 1.7: Linear Independence)
An indexed set of vectors
is said to be
linearly independent if the vector equation
......(1)
has
only the trivial solution,
The set
is said to be
linearly dependent if (1) has a nontrivial solution, that is, if there are some weights,
not all zero, such that (1) holds. In such a case, (1) is called a
linear dependence relation among
(Lay 4.3: Linearly Independent Sets)
벡터 집합
은 다음 방정식
을 만족하는 상수가
뿐이면
선형독립이다. 선형독립이 아니면
선형종속이다.
(Zill Definition 7.6.3 Linear Independence)