Image and Kernel of a Linear Transformation
Domain: (Subset of)R
Target: (Subset of )R
The image of a function f : X -> Y is the subset
of elements y of Y which are of the form f(x)
for some x in X.
The image of a function f is denoted by im(f).
Describe the image of the linear
be in R
. The span of v
is the set of all linear combinations
We denote it by span(v
Consider two vectors v and w in R
geometrically span(v) and span(v,w).