Prerequisites and Resources to learn Matrices

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Discussion Overview

The discussion revolves around resources and prerequisites for learning matrix mathematics, specifically within the context of linear algebra. Participants share their experiences and suggest materials for study, while also addressing the necessary background knowledge for understanding matrices.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests recommendations for resources to learn matrix mathematics and inquires about prerequisites.
  • Several participants suggest looking for linear algebra resources, with one mentioning the usefulness of MATLAB for understanding matrices.
  • Some participants note that calculus is typically studied before linear algebra, but others argue that it is not a strict prerequisite for studying matrices.
  • One participant recommends a specific book for self-study and mentions an accompanying MIT open course that could enhance learning.
  • There is a discussion about the level of mathematical maturity required for proof-based learning, with differing opinions on what constitutes "higher math."
  • Another participant provides a link to a basic introduction to matrices and their manipulation.
  • One participant expresses confidence in knowing what to study next after receiving input from others.

Areas of Agreement / Disagreement

Participants generally agree that calculus is not strictly necessary before studying matrices, but there is no consensus on the level of mathematical maturity required for more advanced topics. Multiple viewpoints on the prerequisites and resources remain present.

Contextual Notes

Some participants express uncertainty about their current level of understanding and readiness to tackle matrix mathematics, indicating a need for refresher materials. The discussion includes varying opinions on the importance of prior knowledge in calculus and higher mathematics.

kieth89
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Could anyone let me know of a good resource that I could use to learn matrix mathematics? I'm not sure if that is the proper term for that segment of mathematics, but hopefully you get the gist of it. It can be a book or a website, does not matter to me. Also, any suggestions as to what I should study before delving into matrices? They seem to be quite different from things like polynomials at first glance.

Much Appreciated,
Josh
 
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Look for linear algebra resources - I never really got matrixes myself until I had to learn MATLAB ...

These days I'd suggest going online for the basics.
What level are you at?
 
Simon Bridge said:
Look for linear algebra resources - I never really got matrixes myself until I had to learn MATLAB ...

These days I'd suggest going online for the basics.
What level are you at?

As far as matrix math goes I've done dot multiplication and other things among that level, but it's been about 6 months so I'm probably pretty rusty. As far as general math education, I'm pretty high college algebra level/right before calculus (have looked at calculus a little bit, but not much).
 
kieth89 said:
As far as matrix math goes I've done dot multiplication and other things among that level, but it's been about 6 months so I'm probably pretty rusty. As far as general math education, I'm pretty high college algebra level/right before calculus (have looked at calculus a little bit, but not much).

Typically you study calculus before linear algebra.
 
Astrum said:
Typically you study calculus before linear algebra.

You should be fine without it, however.

https://www.amazon.com/dp/0980232716/?tag=pfamazon01-20

This is the book we 'used' for my underwhelming course in intro to LA, it's abit wordy, but that's good for self-study. I think there is also a MIT open course that follows this text, so that might make it even better for self-teaching. The book itself is pretty good.

You might want to get a reference or use a free online book for some examples and more worked problems.
 
Last edited by a moderator:
Student100 said:
You should be fine without it, however.

https://www.amazon.com/dp/0980232716/?tag=pfamazon01-20

This is the book we 'used' for my underwhelming course in intro to LA, it's abit wordy, but that's good for self-study. I think there is also a MIT open course that follows this text, so that might make it even better for self-teaching. The book itself is pretty good.

You might want to get a reference or use a free online book for some examples and more worked problems.

If they're interested in something proof based, I don't think they'd have the mathematical maturity without some experience with higher math.
 
Last edited by a moderator:
Astrum said:
If they're interested in something proof based, I don't think they'd have the mathematical maturity without some experience with higher math.

I wouldn't call calc at that level higher math, but I understand your point.

Still, it isn't required per say, so it's up to them if they want to follow through or not.
 
Astrum said:
Typically you study calculus before linear algebra.

You can study matrix algebra as soon as you study simultaneous linear equations, which can be in an algebra I or algebra II course in high school. Although you can use matrices and vectors in calculus, calculus itself is not a prerequisite for studying these concepts.

Here is a basic introduction to matrices and manipulating them:

http://www.mathsisfun.com/algebra/matrix-introduction.html
 
As far as matrix math goes I've done dot multiplication and other things among that level, but it's been about 6 months so I'm probably pretty rusty. As far as general math education, I'm pretty high college algebra level/right before calculus (have looked at calculus a little bit, but not much).
Sounds like you just need a refresher then ... the links above should be fine.
 
  • #10
I think I know where I need to go/what I need to look at next. Thank you all for the help!
 

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