LINEAR ALGEBRA: Given a linear transformation from R^2 to R^2 & parallelogram... Let T be an invertible linear transformation from [itex]R^2[/itex] to [itex]R^2[/itex]. Let P be a parallelogram in [itex]R^2[/itex] with one vertex at the origin. Is the image of P a parallelogram as well? Explain. Draw a sketch of the image. My answer: Yes. I don't have an explanation however, because I don't understand what an "image" is or how to do a linear transformation from R2 to R2. They are the same spaces, so the parallelogram would not change dimensions, right? A drawing? I would just guess an identical parallelgram.