English-Finnish translations for linear independence

Definition of linear independence

• the state of being linearly independent

Examples

• The linear independence of a set of vectors can be determined by calculating the Gram determinant of those vectors; if their Gram determinant is zero, then they are linearly dependent, and if their Gram determinant is non-zero, then they are linearly independent. Incidentally, the same Gram determinant can be used to calculate the hyper-volume of a hyper-parallelepiped (whose edges which "radiate" from an "origin" vertex are described by the vectors).

Related words

• linear combination
• linear programming
• linear mapping
• linearly independent
• linear#Inglese|linear
• trivial linear combination
• linear
• linear algebra
• linear transformation