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 T be a transformation matrix. Then we can transform the column vector by multiplying it with the transformation matrix T. In other words, is the transformed vector.
Finding the Transformed Vectors
Apply the transformation matrix T to the following column vector to find the transformed vector:
Transforming vectors with matrices
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