Transforming vectors with matrices

Do better in math today

Get Started Now

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 Transforming vectors with matrices to find the transformed vector:
Teacher pug

Transforming vectors with matrices

Don't just watch, practice makes perfect.

We have over 1040 practice questions in Algebra 2 for you to master.