Consider a 3×3 matrix M. Which of the following statements about M is false. 1) M does not need to be diagonal to represent rotations. 2) M can be a part of a homogeneous transformation. 3) M can represent rotations. 4) M can represent at most only one planar rotation. Consider the matrix D = [ e g 0 ] I f a b I [ 0 c d ] Which of the following should be true in order for D to represent a rotation about the x-axis of the coordinate system? 1) f = g = 0, e = 1, a = −d, b = c. 2) e = f = g = 0, a = −d, b = c. 3) f = g = 0, e = 1, a = d, b = −c. 4) e = f = 0, g = 1, a = d, b = c.
Consider a 3×3 matrix M. Which of the following statements about M is false. 1) M does not need to be diagonal to represent rotations. 2) M can be a part of a homogeneous transformation. 3) M can represent rotations. 4) M can represent at most only one planar rotation. Consider the matrix D = [ e g 0 ] I f a b I [ 0 c d ] Which of the following should be true in order for D to represent a rotation about the x-axis of the coordinate system? 1) f = g = 0, e = 1, a = −d, b = c. 2) e = f = g = 0, a = −d, b = c. 3) f = g = 0, e = 1, a = d, b = −c. 4) e = f = 0, g = 1, a = d, b = c.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
Consider a 3×3 matrix M. Which of the following statements about M is false.
1) M does not need to be diagonal to represent rotations.
2) M can be a part of a homogeneous transformation.
3) M can represent rotations.
4) M can represent at most only one planar rotation.
Consider the matrix D =
[ e g 0 ]
I f a b I
[ 0 c d ]
Which of the following should be true in order
for D to represent a rotation about the x-axis of the coordinate system?
1) f = g = 0, e = 1, a = −d, b = c.
2) e = f = g = 0, a = −d, b = c.
3) f = g = 0, e = 1, a = d, b = −c.
4) e = f = 0, g = 1, a = d, b = c.
Transcribed Image Text:e g
fab
c d
0
0
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