Find vector decompisition in basis, online calculator

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 vector B in the basis formed by linearly independent system of n-dimensional vectors vector A1 , vector A2 , ... , vector An , has the following form:

vector B = λ1 vector A1 + λ2 vector A2 + ... + λn vector An

, where λi − some constants called the coefficients of the decomposition (linear combination) of the vector vector B in basis vector A1 , vector A2 , ... , vector An.

Our online calculator is able to find the decomposition of vector in basis with step by step solution for free.

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