this post was submitted on 20 Sep 2023
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Explain Like I’m Five

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Eilf: Matrix stuff (lemmy.ml)
submitted 1 year ago by [email protected] to c/[email protected]
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  1. Determinant of a matrix
  2. Difference between inverse matrix and identity matrix and what are they?
  3. Eigenvalues
  4. Unitary or orthonormal matrix
  5. Diagonal matrix
  6. How to compute matrices?

Thank you in advance for answering anyone of them.

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[–] [email protected] 1 points 1 year ago (1 children)

Thanks for your explaination with examples. What is a column vector? Is it something like (1 2 3) which means move x upwards 1 unit, y up 2 units, z up 3 units?

[–] [email protected] 3 points 1 year ago

@meowmeowmeow
Ah, I should have been more specific, but you pretty much have the right idea. A vector is, abstractly, something with a length and a direction, like a velocity or force in physics. But to actually make calculations with vectors it helps to represent them with lists of numbers like your example. The convention is that we write vectors vertically, hence "column vector." Writing them horizontally as rows instead represents "covectors," but I won't get into the weeds on that.