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Linear combination | how to determine if one vector is linear combination of other vectors
Автор: DiveDeep IntoMaths
Загружено: 2021-05-11
Просмотров: 226
Описание:
Linear combination is arbitrary combination of vector addition and scalar multiplication. We can compute this algebraically and visualize it geometrically.
Contents of this video include:
0:00 Topic Introduction
0:20 Geometrical interpretation of vector addition and scalar multiplication
2:32 Geometric view of linear combination
3:14 Algebraic view of linear combination
5:16 Example # 1
writing a vector as a linear combination of other two
9:25 Linear combination formal definition
10:10 Example # 2
vector cannot be expressed as a linear combination of other two
15:06 Trivial Linear combination
(Linear combination of zero vector)
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