## Linear Combination of Vectors

A*linear combination*of vectors is a

*sum of scalar multiples*of those vectors. That is, given a set of vectors of the same type,

^{5.4}such as (they must have the same number of elements so they can be added), a linear combination is formed by multiplying each vector by a scalar and summing to produce a new vector of the same type:

*signal mix*. Thus, the output of a

*mixing console*may be regarded as a

*linear combination*of the input signal tracks.

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