Study of Linear Transformation and its Application

Linear functions are commonly referred to as “linear map”, “linear operator” or “linear transformation”. In some cases, the term “homomorphism” will be used, which refers to functions from one kind of set that respect any structures on the sets; The two structures on vector spaces, scalar multiplication, and addition, are respected by linear maps from vector spaces. A linear function is commonly written with a capital L to indicate its linearity, but because we’re only looking at very specific functions, we may alternatively express it with merely f. Matrices are a helpful tool for linear transformation calculations. It’s important to understand how to find the matrix of a linear transformation as well as the properties of matrices.