micnd90 [he/him,any]

  • 0 Posts
  • 4 Comments
Joined 4 years ago
cake
Cake day: August 17th, 2020

help-circle
  • When you say the first element of a matrix, first implies one and not zero. This is how linear algebra was invented (on paper, by a human mathematician), taught, and passed down to fellow humans.

    Starting indexes at zero stem from the lineage of C programming and binary nature of computer. For example,

    Computer memory addresses have 2^N cells addressed by N bits. Now if we start counting at 1, 2^N cells would need N+1 address lines. The extra-bit is needed to access exactly 1 address. (1000 in the above case.). Another way to solve it would be to leave the last address inaccessible, and use N address lines.

    This is why, math and physics people who learn linear algebra and matrix calculus learn to index at 1 (on a piece of paper) while computer science programmers index at 0.


  • MATLAB is for matrix calcs. Matrix indices start at 1, fight me. Given a matrix X of m x n size, you write

    Matlab has many issues, amongst other accessibility (which can be remedied by piracy), closed-software, but as a program designed to do computational matrix manipulation, starting at index 1 is literally correct. This is how you learn matrix indices in intro linear algebra. How is it make sense then you use a software to assist computation and start indexing at 0, while you write the equations and indices on a piece of paper you start at 1. CS majors go home.