In linear algebra, basis (also called basis) is the basic tool to describe and characterize vector space. The basis of a vector space is a special subset of it, and the elements of the basis are called basis vectors.

Any vector in space can be represented by this set of vectors: this requires that the basis vector must be linearly independent. By the way, the basis vector is not unique, and all the vector groups satisfying the above conclusions can be used as the basis vectors of this space.

In mathematics, vectors (also known as Euclidean vectors, geometric vectors and vectors) refer to quantities with magnitude and direction. It can be imagined as a line segment with an arrow. The arrow indicates the direction of the vector; Line segment length: indicates the size of the vector. The quantity corresponding to a vector is called a quantity (called a scalar in physics), and a quantity (or scalar) has only a size and no direction.