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(c) Determine the concatenated transformation matrix for translation by vector [1 1] followed by rotation of 45 degrees in 2D as shown in Figure 2 below.

Question

(c) Determine the concatenated transformation matrix for translation by vector [1 1] followed by rotation of 45 degrees in 2D as shown in Figure 2 below.
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Solution 1

To solve this problem, we need to understand that transformations in 2D space can be represented by matrices.

Step 1: Translation Matrix The translation matrix for a 2D space is given by:

[1 0 Tx]
[0 1 Ty]
[0 0 1 ]

Where Tx and Ty are the translation distances along the x and y axes respec Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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