ACtE08 · Chapter 8Mock Test 05🏛️ Past Licensure QuestionID: 0c07dfa8
In a 2D homogeneous transformation matrix for shearing in the X direction,
, how many elements along the main diagonal are equal to 1?
In a 2D homogeneous transformation matrix for shearing in the X direction,
, how many elements along the main diagonal are equal to 1?
Multiple Choice Options
- A
1
- B
2
- C✓ Correct Option
3
- D
5
Detailed Technical Solution & Explanation
A 2D homogeneous transformation matrix for shearing along the X-axis by a factor is represented as:
The main diagonal entries of this matrix are located at coordinates , , and :
•
•
•
All three diagonal elements are equal to 1.
Option Analysis:
•
Option A (1): Incorrect; there are 3 diagonal elements equal to 1.
•
Option B (2): Incorrect; all three diagonal elements are 1.
•
Option C (3): Correct; exactly 3 elements along the main diagonal are equal to 1.
•
Option D (5): Incorrect; a matrix has only 3 total elements on its main diagonal.
Reference: Mock Test 05NEC Licensure Syllabus