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 has the following form:

, where − some constants called the coefficients of the decomposition (linear combination) of the vector in basis .

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