Transformation 1
The sketch below shows a transformation from the plane on the left to the plane on the right. Move [math]v[/math] to find its image [math]Mv[/math].[br][br]What is the image of [math](1, 0)[/math]? Of [math](0, 1)[/math]? Of the shaded unit square? Can you use these results to predict the image of [math](2, 3)[/math]? Could you have used these results to find the matrix [math]M[/math]?[br][br]Trace figures on the left to see their images on the right. Write your name! Trace the grid! Explore!
How can you see the images of [math](1,0)[/math] and [math](0,1)[/math] in the matrix [math]M[/math]?