What is the significance of the last column in a homogeneous transformation matrix?

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Understand the Problem

The question is asking about the significance of the last column in a homogeneous transformation matrix and the commonality of input devices in a control system. It tests knowledge related to robotics or control theory.

Answer

The last column represents translation.

The final answer is "The last column represents translation."

Answer for screen readers

The final answer is "The last column represents translation."

More Information

In a homogeneous transformation matrix, the last column is crucial for indicating translation in space. This is part of a larger matrix that encompasses rotation and scaling, making it a powerful tool in 3D transformations.

Tips

A common mistake is confusing the last column with rotation or scaling elements in the transformation matrix.

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