How to resolve the algorithm Identity matrix step by step in the PostScript programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Identity matrix step by step in the PostScript programming language
Table of Contents
Problem Statement
Build an identity matrix of a size known at run-time.
An identity matrix is a square matrix of size n × n, where the diagonal elements are all 1s (ones), and all the other elements are all 0s (zeroes).
I
n
=
[
1
0
0
⋯
0
0
1
0
⋯
0
0
0
1
⋯
0
⋮
⋮
⋮
⋱
⋮
0
0
0
⋯
1
]
{\displaystyle I_{n}={\begin{bmatrix}1&0&0&\cdots &0\0&1&0&\cdots &0\0&0&1&\cdots &0\\vdots &\vdots &\vdots &\ddots &\vdots \0&0&0&\cdots &1\\end{bmatrix}}}
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Identity matrix step by step in the PostScript programming language
Source code in the postscript programming language
% n ident [identity-matrix]
% create an identity matrix of dimension n*n.
% Uses a local dictionary for its one parameter, perhaps overkill.
% Constructs arrays of arrays of integers using [], for loops, and stack manipulation.
/ident { 1 dict begin /n exch def
[
1 1 n { % [ i
[ exch % [ [ i
1 1 n { % [ [ i j
1 index eq { 1 }{ 0 } ifelse % [ [ i b
exch % [ [ b i
} for % [ [ b+ i
pop ] % [ [ b+ ]
} for % [ [b+]+ ]
]
end } def
You may also check:How to resolve the algorithm Matrix multiplication step by step in the S-lang programming language
You may also check:How to resolve the algorithm Pseudo-random numbers/Middle-square method step by step in the Phix programming language
You may also check:How to resolve the algorithm Call a function step by step in the Elixir programming language
You may also check:How to resolve the algorithm Stern-Brocot sequence step by step in the ALGOL-M programming language
You may also check:How to resolve the algorithm Bitmap/Flood fill step by step in the Phix programming language