ABSTRACT
It is instructive to note that the principal advantage of linear operators is that their action on any vector is defined purely by their action on a set of basis vectors. Let us consider the linear operator F ̂ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003145554/e05d5bc2-9f6b-44fc-95c4-8a9db92e5483/content/eqni2_1.jpg"/> transforming the vector a via its components a k : F ̂ a i = ∑ k F i k a k https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003145554/e05d5bc2-9f6b-44fc-95c4-8a9db92e5483/content/eqn2_1.jpg"/>
