2. If we rotate P(2, 3) with 0-30° in anti- clockwise direction relative to point C(1, 2), we obtain P. (sin30° =0.5, cos 30º = 0.9) Please finish the following tasks: (1) Write Point P and C coordinates in homogeneous coordinates; (2' ); (2) Write the rotating matrix R in 3*3 format(2'); (3) Calculate P' with the rotating matrix R and the point C (3' ).

2. If we rotate P(2, 3) with 0-30° in anti- clockwise direction relative to point C(1, 2), we obtain P. (sin30° =0.5, cos 30º = 0.9) Please finish the following tasks: (1) Write Point P and C coordinates in homogeneous coordinates; (2' ); (2) Write the rotating matrix R in 3*3 format(2'); (3) Calculate P' with the rotating matrix R and the point C (3' ).

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter13: Structures

Section: Chapter Questions

Problem 4PP

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Open Question Question 44 2. If we rotate P(2, 3) with 0=30° in anti- clockwise direction relative to point C(1, 2), we obtain P'. (sin30° =0.5, cos 30° = 0.9) Please finish the following tasks: (1) Write Point P and C coordinates in homogeneous coordinates; (2' ); (2) Write the rotating matrix R in 3*3 format(2' ); (3) Calculate P' with the rotating matrix R and the point C (3' ).
The compass gradient operators of size 3x3 are designed to measure gradients of edges oriented in eight directions: E, NE, N, NW, W, SW, S, and SE. i) Give the form of these eight operators using coefficients valued 0, 1 or – 1. ii) Specify the gradient vector direction of each mask, keeping in mind that the gradient direction is orthogonal to the edge direction.
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True or False 1. Matrices are often represented by single small letters a, b, c... etc.2. Two m x n matrices A and B are equal if aij=bij for each i & j. (i.e., the two matrices havesame size, and all the corresponding elements are equal).3. Matrices A & B are said to be conformable in the order AB if, and only if, the number ofrows in A is equal to the number of columns in B.4. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2columns. The product size of AB is a 4 x 2 matrix.5. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in arow/column by a non-zero constant and adding the result to the corresponding entries inanother row/column. Then, det(B) = det(A).
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