MATH 2210Q Chapter Notes - Chapter 1: Transformation Matrix, Linear Map, Scalar Multiplication
18 Dec 2017
School
Department
Course
Professor
Document Summary
The multiplication by a transforms x into b and transforms u into the zero vector. Solving the equation xa = b is finding all vectors x that are transformed into the vector b under the action of multiplication by a. A function is a rule that transforms one real number into another. Transformation (or function, or mapping) t from to. N is a rule that assigns to each vector x in. Domain of t - the set n. The codomain of t - the set m. Image of x (under the action of t) - for x in. Range of t - set of all images (x)t. T(u), the image of u under the transformation t, =au. Find an x whose image under t is b - solve t(x)=b for x or solve ax=b. If ax=b has a unique solution, then there is not more than one x whose image under t is b.
