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 column vector x be a column vector and TT be a transformation matrix. Then we can transform the column vector column vector x by multiplying it with the transformation matrix TT. In other words, transformed vector Tx is the transformed vector.
  • 1.
    Finding the Transformed Vectors
    Apply the transformation matrix TT to the following column vector Transforming vectors with matrices to find the transformed vector:
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Transforming vectors with matrices

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