Arbitrary vector of any n-dimensional space can be expressed in the form of the linear combination of some basis vectors of this n-dimensional space. Such the decomposition is uniquely one.
Decomposition of the arbitrary n-dimensional vector in the basis formed by linearly independent system of n-dimensional vectors 1 , 2 , ... , n , has the following form:
= λ1 1 + λ2 2 + ... + λn n
, where λi − some constants called the coefficients of the decomposition (linear combination) of the vector in basis 1 , 2 , ... , n.
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