The Image of a Line Under Transformation By a Matrix

It's only fair to share...Share on FacebookTweet about this on TwitterPin on PinterestShare on Google+Share on RedditEmail this to someone

A matrix is a linear transformation, which means that it sends a line to a line.

To find the image of the lineon transformation by the matrixwe represent the line by the vectorand multiply the vector by the matrix:

From this we see that

(1)

(2)

Rearrange (1) to makethe subject and substitute into (2):

This is the image of the line.

To find the image of the lineon transformation by the matrixwe represent the line by the vectorand multiply the vector by the matrix:

From this we see that

(1)

(2)

Rearrange (1) to makethe subject and substitute into (2):

This is the image of the line.

Comments are closed.