👉 In mathematics, an element of a vector space is called an eigenvector. An eigenvector is a linear combination of basis vectors in the vector space. For example, consider a 2D vector space with two basis vectors (x and y). The vector x can be written as:
x = x1
xi + x2
yi
where xi and yi are basis vectors. If we apply this to an eigenvector, it will be multiplied by the corresponding eigenvalue.