1. The problem statement, all variables and given/known data Write down the 2 × 2 matrix that represents the following linear transformation of the plane. Also draw the image of the (first quadrant) unit square 1. T(x, y) = (2x +6y, x + 3y). 2. Relevant equations T(x, y) = (2x +6y, x + 3y). 3. The attempt at a solution So the previous four questions were as follows: (a) A dilation with horizontal dilation factor 2 and vertical dilation factor 1/2. (b) A vertical shear with factor −1/2. (c) A rotation of 45◦ anticlockwise. (d) A reflection across the line at angle −30◦ to the X-axis. I've done all of these without a problem, but I'm not exactly sure what method you use to actually figure out this one? What exactly is the transformation that's happening? I'm stuck as to what the equation actually means, and I should be okay from there.