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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