Discord? + Matrices as linear transformations

Hello all :wave: :slight_smile:
For my first question, I got an email from our course that mentioned a Discord server, but with no link. Can someone please share the link with me?

Secondly, Iโ€™m having a bit of trouble getting my head around this new topic.
How were the points selected for the multiplication? Are these the standard points you would use in order to make a transformation?

To clarify, I mean (0,0), (1,0), (0,1), (1,0)

It felt a bit arbitrary to me, and I watched the video at least 3 times, and didnโ€™t get closer to understanding it.

Thanks in advance!

Hello @pinkninja and welcome to the DeepLearning community!
The discord server is supposed to be this platform, At the bottom of the page there is supposed to be a OPEN TOOL button that will lead you here community.deeplearning.ai

I am yet to watch the video but the four points you mentioned, (0,0), (1,0), (0,1), and (1,1), mostly form the standard basis vectors for a 2D vector space. When performing a linear algebra transformation, itโ€™s not necessarily a must to use these points as inputs, but they are commonly used to define a basis for the vector space.

By defining a basis using these points, you can represent any point in the 2D vector space as a linear combination of the basis vectors. This makes it easier to apply linear transformations, as you can apply the transformation to each basis vector and then use the resulting transformed basis vectors to represent any other point in the vector space.

Let me know if you still have another question

Happy Learning

That helped a lot. Thanks, Isaak! Much appreciated :blush:

Welcome @pinkninja
If you have any other questions feel to start a new topic

Happy Learning

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