Linear dependence: Difference between revisions
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[[Basis|Bases]], such as [[Comma basis|comma bases]], are considered '''linearly dependent''' when they share a common basis [[Wikipedia:Vector|vector]]. In other words, that they can form an identical vector through [[Wikipedia:Linear_combinations|linear combinations]] of their member vectors. | [[Basis|Bases]], such as [[Comma basis|comma bases]], are considered '''linearly dependent''' when they share a common basis [[Wikipedia:Vector|vector]]. In other words, that they can form an identical vector through [[Wikipedia:Linear_combinations|linear combinations]] of their member vectors. | ||
{{Wikipedia|Linear independence}} | |||
When basis vector sets do not share a common basis vector like this, they are '''linearly ''in''dependent'''. Linearly dependent basis vector sets are in a sense more closely related to each other than linearly independent basis vector sets. | When basis vector sets do not share a common basis vector like this, they are '''linearly ''in''dependent'''. Linearly dependent basis vector sets are in a sense more closely related to each other than linearly independent basis vector sets. | ||