When you represent a three-dimensional object graphically in the plane (on paper, the blackboard, or a computer screen), you have to transform spatial coordinates, x1x2x3 into the plane coordinates, [y1y2]. The simplest choice is a linear transformation, for example, the one given by the matrix: [21211001] a. Use this transformation to represent the unit cube with comer points: 000,100,010,001 110,011,101,111 In your sketch, connect the images of the pair of corners that are adjacent in the unit cube. For example, in the unit cube, 000 are adjacent to 100,010, and 001, so you will connect 000 to 100, 010, and 001 in your sketch, etc. your sketch, etc. b. Represent the image of the point 12121 in your figure in part a. c. Find all the points x1x2x3 in R3 that are transformed to [00]. Explain