- Question 1 What is the image of the point (40,25) under the following transformation contraction by a factor of 5, then projection onto the y- axis 1 point This question accepts answers that are in a form like "(-1,3)" or "(3,7,3z)". The entries can be numbers or formulas Help Preview - Question 2 What is the image of the point (0,1) under the following transformation: dilation by a factor of 8, then counterclockwise rotation by 270 degrees, then reflection about the y-axis? 1 point This question accepts answers that are in a form like "(-1,3)" or "(3,7,32)". The entries can be numbers or formulas. Help Preview - Question 3 The following linear operator is one-to-one: orthogonal projection onto the y-axis in R2 1 point O True O False Question 4 -6 If TAR? > R2 is multiplication by A where A is given by , then the range of TA is all of R 6 -2 1 point O True O False Question 5 Suppose we apply the following transformations (in the order listed) to an image in Rº, originally called View 1. M1: Scale: (i.e. stretch) by a factor of 6 in each of the x, y, and z-directions M2: Translate: (i.e. shift) 6 units in the x-direction M3: Rotate: about the origin through a negative angle of 270 degrees 1 point Here, M1, M2, and M3 denote the three matrices associated with these transformations. If P is the coordinate matrix of the original view (View 1) and P' is the coordinate matrix of the resulting image after the transformations (View 2), which of the following gives p' in terms of M1, M2, M3, and P? [This question is based on your assigned pre-reading/prep for the upcoming Assignment] M3+M2MP M3(M2+M P) O none of these OM (M2+M3P)
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