qus:1 Mathematically, a 2D affine transformation can be represented as a 3 x 3 m
ID: 3643671 • Letter: Q
Question
qus:1
Mathematically, a 2D affine transformation can be represented as a 3 x 3 matrix. If each matrix below represents some transformation, what matrix is resulted from the multiplication of matrix A by matrix B?
Hint: It is best that you actually perform the multiplication on a piece of paper and see the result for yourself before you answer this question.
Matrix A Matrix B
1 0 2 1 0 -2
0 1 3 0 1 -3
0 0 1 0 0 1
Choose one answer.
A. The product of the two matrices A and B will be unknown
B. Multiplying matrices A and B will produce the "Identity Matrix" as a result
C. Multiplying matrices A and B will reproduce matrix A
D. Multiplying matrices A and B will reproduce matrix B
E. Resulting matrix will have all the values in matrix A doubled in value
qus:13
Primary colors for display include Red, Green and Blue. Other colors may be defined in terms of these primary colors.
Answer: True False
Question 14
If matrix A (below) defines some translation transform, then matrix B (below)is an inverse of such translation.
Matrix A Matrix B
1 0 1 1 0 -1
0 1 2 0 1 -2
0 0 1 0 0 1
Hint: Think about inverse and determine for yourself if multiplying the two matrices below would produce the identity matrix or not.
Answer: True/ False
Question 15
Altering attributes of the Graphics2D context is never allowed. By another words, once the line styles, transformations, fonts and other characteristics encapsulated within the Graphics2D context are initialized, they may not be altered subsequently.
Answer: True /False
Question 16
Speaking in the context of Graphics2D opeations, which of the following statements are correct?
(Select all that apply)
Choose at least one answer.
A. You can draw the outline of a shape by calling the draw() method.
B. draw method of the Graphics2D class may only be used to draw rectangles and circles.
C. You can render "text" by calling one of Graphics2D's drawString(...) methods.
D. Graphics2D's drawString(...) method may only be used to draw characters within the ASCII character set.
E. Graphics primitives pass through the rendering engine in a series of operations, called the rendering pipeline.
Question 17
Speaking in the context of 2D transformations, which of the following is/are correct statements?
Choose at least one answer.
A. Translation is considered an affine transformation, but not an isomteric one.
B. Rotation is considered an isometry, but not an affine transformation.
C. Reflection is neither conisdered an affine nor an isometric transformation.
D. Both, scaling and shearing are considered examples of an affine transformation, however, neither one is considered an isometry.
E. Mathematically, a 2D affine transformation can be represented as a 3 x 3 matrix
Explanation / Answer
1. b 13. true 14 false 15 true 16. d 17 c
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