5... Generate a transformation matrix for arotation e of your object. The angle of rotationshould not correspond to any angles ofsymmetry. (For example, if your object is afive-point star with points at 0°, 72°, 144°,216°, and 288°, do not rotate the star any ofthe angles where the points are.)23144346.7579.79.101011

Answered: Generate a transformation matrix for a…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 29CR: Use the standard matrix for counterclockwise rotation in R2 to rotate the triangle with vertices...

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Similar questions

The figure shows three outline versions of the letter F. The second one is obtained from the first by shrinking horizontally by a factor of 0.75, and the third is obtained from the first by shearing horizontally by a factor of 0.25. a Find a data matrix D for the first letter F. b Find a transformation matrix T that transforms the first F into the second. Calculate TD, and verify that this is a data matrix for the second F. c Find the transformation matrix S that transforms the first F into the third. Calculate SD, and verify that this is a data matrix for the third F.
Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
Rotate the triangle in Exercise 29 counterclockwise 90 about the point (5,3). Graph the triangles. 29. Use the standard matrix for counterclockwise rotation in R2 to rotate the triangle with vertices (3,5), (5,3) and (3,0) counterclockwise 90 about the origin. Graph the triangles.
Find an orthogonal matrix P such that PTAP diagonalizes the symmetric matrix A=[1331].
For the linear transformation from Exercise 37, find a T(1,0,2,3), and b the preimage of (0,0,0). Linear Transformation Given by a Matrix In Exercises 33-38, define the linear transformations T:RnRm by T(v)=Av. Find the dimensions of Rn and Rm. A=[012114500131]
For the linear transformation from Exercise 38, find a T(0,1,0,1,0), and b the preimage of (0,0,0), c the preimage of (1,1,2). Linear Transformation Given by a Matrix In Exercises 33-38, define the linear transformation T:RnRmby T(v)=Av. Find the dimensions of Rnand Rm. A=[020201010112221]
Construct a homogeneous transformation matrix that performs a rotation by 90-degrees around the y axis in Euclidian 3-space. Let C = cos(a) and S=sin(a) in your solution.
Find the 3×3 matrix that produces the described composite 2D transformation below, using homogeneous coordinates. Reflect points through the y-axis, and then rotate 30° about the origin
1) Describe the 2-D transformation matrix for rotation about arbitrary point. 2) Find out the final coordinates of a figure bounded by the coordinates (1,1), (3,4), (5,7) and (10,3) when scaled by two units in X direction and three unit in Y direction

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