Transforming vectors with matrices - Matrices

Transforming vectors with matrices

In this lesson, we will learn how to transform column vectors with matrices. To transform a vector, we need to multiply the transformation matrix with that vector. This would result in a transformed vector, where the length or direction of the vector may be changed. We will take a look at some questions which involve transforming vectors, and then graph them to notice the changes between the normal vector and the transformed vector.


Let be a column vector and TT be a transformation matrix. Then we can transform the column vector by multiplying it with the transformation matrix TT. In other words, is the transformed vector.
  • 2.
    Finding the Transformed Vectors
    Apply the transformation matrix TT to the following column vector to find the transformed vector:
Teacher pug

Transforming vectors with matrices

Don't just watch, practice makes perfect.

We have over 1800 practice questions in Algebra for you to master.