Linear combination

A linear combination of vectors

v_{1}, \dots, v_{n}

is a sum

a_{1} v_{1} + \dots + a_{n} v_{n}

with scalar coefficients

a_{i}

.

Table of contents
- Coefficient Linear combination

Coefficient ( $a_{k}$ )

A scalar multiplying a specified term in a linear combination, polynomial or power series. When the term family has linear independence, the coefficients are unique; uniqueness of finite Laurent polynomial coefficients follows after multiplying by a sufficiently large power to obtain an ordinary polynomial.

 Ancestors (6)

 Incoming links (58)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (1)

Linear combination by

Wikipedia Bot  1

A linear combination is a mathematical expression constructed from a set of elements, typically vectors or functions, where each element is multiplied by a coefficient (a scalar, which can be any real or complex number) and then summed together.

 Read the full article

  See all articles in the same topic Create my own version