Matrices as transformations

2 articles
3 videos
3 skills
Learn how matrices can be used as transformations of vectors or transformations of the plane.

How to transform vectors using a transformation matrix graphically (example)

VIDEO 4:43 minutes
Sal transforms a 2-dimensional vector using a 2x2 matrix, and draws the original vector and its image on the plane.

Transform vectors using matrices

PRACTICE PROBLEMS
Find the result (both algebraically and graphically) of transforming a vector using a transformation matrix.

How to transform polygons using a transformation matrix (example)

VIDEO 7:15 minutes
Sal transforms a triangle using a 2x2 matrix.

Transform polygons with matrices

PRACTICE PROBLEMS
Find the image of a given polygon under a transformation defined by a given matrix.

Matrices as transformations

ARTICLE
Learn how exactly 2x2 matrices act as transformations of the plane.

Associating matrices with visual representations of transformations

ARTICLE
Learn how to determine the transformation matrix that has a given effect that is described visually.

How to determine the effect of a transformation matrix visually (example)

VIDEO 6:08 minutes
Sal finds the drawing that appropriately represents the effect of a given 2x2 transformation matrix on the plane.

Analyze matrices as transformations of the plane

PRACTICE PROBLEMS
Match transformation matrices with a visual representation of their effect on the plane.