EXERCISES FOR WEEK 5
week5-1

Do practice exercise 4.2.1 (a,b,c) on page 140 of the Hill book.

 
week5-2

Do practice exercise 4.3.1 on page 144 of the Hill book.

 
week5-3

Multiply the following matrices (if possible):

  • [A] * [B] where [A] = [2 1 4
                                        3 7 -2
                                        1 0 5]

and [B] = [2
                 4
                 6]

  • [B] * [A], where A and B are as given abovem,
week5-4

What is the homogeneous scaling matrix MS if you wish to make the object twice as wide as it is now?

 
week5-5

What is the homogeneous scaling matrix MS if you wish to make the object one-third as tall as it now is?

 
week5-6

What is the homogeneous translation matrix MT if you wish to move the object 5 units to the right and down 12 units?

 
week5-7

What is the homogeneous rotation matrix if you wish to rotate the object 60 degrees CCW (counter clock wise) with respect to the origin? Round off all numbers to 3 decimal places.

 
week5-8

What is the homogeneous rotation matrix if you wish to rotate the object 60 degrees CCW with respect to the point (10,25)? Round to 3 decimal places.

 
week5-9

Assume P= (2,7). What will be the new point Q' if P is

  • rotated 60 degrees CCW with respect to the origin?

What will THEN be the new point if this resulting point Q is

  • now scaled by a factor of 2 units in the x-direction and 3 units in the y-direction?

 
week5-10

Assume P= (2,7). What will be the new point Q if P is

  • scaled by a factor of 2 units in the x-direction and 3 units in the y-direction?

What will THEN be the new point if this resulting point Q is

  • now rotated 60 degrees CCW with respect to the origin?