Looking for a Linear Algebra Project

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The discussion centers on seeking guidance for a linear algebra project focused on scientific computing with an application in astronomy. The participant expresses a desire to create a 10-page paper for extra credit but is unsure about potential project ideas due to limited class coverage of practical applications. They inquire about specific linear algebra concepts that could aid in formulating problems into systems of equations, highlighting curve fitting of two-dimensional data as a relevant application. Additionally, there is mention of peers working on a larger project involving linear algebra in face recognition software, suggesting that while ambitious, smaller projects can still be developed in this area. Resources and advice on project direction are sought to bridge the gap between theoretical knowledge and practical implementation.
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I am in an Intro to Linear Algebra class and we can get some extra credit points but working on a project and producing a 10 page paper. I am interested in doing something in scientific computing, if I could find something with a specific application to astronomy I would be pretty excited. I tried to ask the professor to point me in the right direction but he hasn't been much help yet. Since I am such a novice in L.A. I'm not really sure what kind a project of this kind would look like. Does anyone have any advice or resources to look at.

Btw, in class we don't cover many applications of L.A. what parts of Linear Algebra will really help me figure out how to covert a given problem into a system of equations,etc.
 
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Curve Fitting of two-dimensional experimental, or tabular-recorded data. The real-world applications for this are extremely plentiful.
 
Some friends of mine are taking a large project in maths this year that will use linear algebra in face recognition software; given that they're quite familiar with LA by now and it's worth a significant fraction of their degree I'm not sure how easily you could produce something smaller on it, but thought I'd mention the connection.
 
TL;DR: How can I begin to gain an understanding of astronomy? Hello there, and thank you in advance to anyone that might answer this. I'm sorry if this is the wrong place to post a question like this, as I am new to this website and also very nervous about making a post that others might see/reply to. I am a freshman in high school and I am interested in astronomy. I want to learn about space, but I am not quite sure where to begin. Is there anything that I can do to seriously expand my...

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