Image Definition Linear Algebra. Definition kernel and image let v and w be vector spaces and let t v rightarrow w be a linear transformation. The image of a function consists of all the values the function assumes.
If x is a member of x then the image of x under f denoted f x is the value of f when applied to x. Think of it as what vectors you can get from applying the linear transformation or multiplying the matrix by a vector it can be written as im a. It s sometimes denoted n t for null space of t.
Image of a transformation showing that the image of a subspace under a transformation is also a subspace.
V w be a linear trans formation between vector spaces. Definition kernel and image let v and w be vector spaces and let t v rightarrow w be a linear transformation. First here is a definition of what is meant by the image and kernel of a linear transformation. F x is alternatively known as the output of f for argument x.