# 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.