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Vector Space Transformations

First functions, but now let's warp space.

A preview of "Vector Space Transformations" Join Brilliant Premium

In these quizzes, we're going to mathematically modify images with transformation functions; unlike other functions we've seen so far, they will take 2 or more inputs and return 2 or more outputs.

We'll cover the basics of vectors and matrices from the visual perspective of transformations, like translations, rotations, and reflections.

You'll be able to answer questions such as what happens to the Eiffel tower when \(\begin{bmatrix} \cos(45^\circ) & -\sin(45^\circ) \\ \sin(45^\circ) & \cos(45^\circ) \end{bmatrix}\) is applied to it.

You'll also gain an understanding of how vector space transformations can be used to create computer graphics, like this one:

Master the problem solving skills of Complex Algebra.

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