Write the corresponding equation of following transformation using homogenous coordinates : Shear in y-direction. Reflection about the line x=0. Two successive rotation operations. Inverse scaling matrix. Inverse translation matrix T -1 of T( -1,5) applied on point P (3,3) Inverse Scaling matrix S -1 of T( -3,1) applied on points P1(3,3), P2(2,2) and P3(1,4). Inverse Scaling matrix S on x- direction = 4, applied on points P1(3,3), P2(2,2) and P3(1,4). Inverse translation matrix T in the 3D Space. (Means the matrix will be 4D). Inverse rotation matrix. Rotate in the clockwise direction with an angle of 90 degrees.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Write the corresponding equation of following transformation using homogenous coordinates :

Shear in y-direction.
Reflection about the line x=0.

Two successive rotation operations.
Inverse scaling matrix.
Inverse translation matrix T -1 of T( -1,5) applied on point P (3,3)
Inverse Scaling matrix S -1 of T( -3,1) applied on points P1(3,3), P2(2,2) and P3(1,4).
Inverse Scaling matrix S on x- direction = 4, applied on points P1(3,3), P2(2,2) and P3(1,4).

Inverse translation matrix T in the 3D Space. (Means the matrix will be 4D).
Inverse rotation matrix.
Rotate in the clockwise direction with an angle of 90 degrees.

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