Matrix Transformations
A matrix is a table of 4 ordered values. We can use a matrix to describe a transformation.
Use the Activity below to investigate what happens to the coordinates of the blue shape that has undergone a Matrix Transformation to create the pink shape.
Use the Activity below to investigate what happens to the coordinates of the blue shape that has undergone a Matrix Transformation to create the pink shape.
 Double click on the pink shape and change the top left and bottom right entries to 1. What transformation does this matrix produce?
 Change the top left entry to 1. What happens to the coordinates? What transformation is this?
 Change the top left entry back to 1, and the bottom right entry to 1. What happens to the coordinates? What transformation is this?
 What do you think will happen when you change both of these entries to 1? Change the entries to see if you were correct.
 Change these entries to 0, and change the top right and bottom left to 1. What has happened to the coordinates? What transformation is this?
 Systematically change the top right and bottom left to 1 and see what happens in each case to the coordinates. Describe the transformations produced for each matrix.
 What happens if you change the diagonal entries to a number other than 1 or 1?
 What happens if you don't leave 0 in one of the diagonals?
 How are the transformations you can produce using a matrix limited?
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