#Coordinat transformations

1 messages · Page 1 of 1 (latest)

glass wagon
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Well, I don’t really know how to begin, we just had some theory ( translation, linear coordinates transformations and rotation stuff), but I really haven’t understood even the essence of this why are we doing all this? Just wanna say that this is the only linear algebra stuff we’ill see.

south vortexBOT
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south vortexBOT
glass wagon
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Also, if someone have any resources on this it would help me

south vortexBOT
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@glass wagon

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sullen cradle
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Linear algebra is used in so many places, why we care so much about linear transformations is because they are linear ( linearity is a condition which allows us to say a good amount )

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Not sure if you're at this level yet, but in early calculus we talk a LOT about continuity, and it allows us to define a lot of different theorems using those properties ( think of the fundamental theorem of calculus relying on continuity )

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In the same way we deal a lot with linear transformations for linear algebra

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Transferring our ideas of functions to these transformations allows us to also apply the operations we use in linear algebra, 3B1B has a perfect video about thinking of i as a matrix and how applying e to a matrix makes sense

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Of course, coordinates,matrices, and these transformations are important for physics, engineering, cs and more

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We also like to talk a lot about mappings, knowing certain mappings ( say from one set to another ) is important

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You can see the derivative as a transformation, a linear transformation in fact

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That's just my two cents, matrices by themselves are so important to STEM and our modern day life

glass wagon
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hmm i see

glass wagon
glass wagon