Find vector decomposition in basis, online calculator
Arbitrary vector of any -dimensional space can be expressed in the form of the linear combination of some basis vectors of this -dimensional space. Such the decomposition is uniquely one.
Decomposition
of the arbitrary
-dimensional vector
in the
basis formed by linearly independent system of
-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.
Our online calculator is able to find the decomposition of vector in basis with step by step solution.
1 by: 2 by: 3 by: 4 by: 5 by: 6 by: 7 by: 8 by: 9 by: by: 1 = { }2 = { } = { }Other useful links:
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