This is a text file, to help you get started in MATLAB.  Type each of the lines below
into a MATLAB Command Window, and see the result.

[If you are working in Mac OS and prefer to work in a terminal, you can probably type
somthing like: 

/Applications/MATLAB_R2023b.app/bin/matlab -nodesktop -nosplash

to run MATLAB in a terminal.  Undoubtedly there are options under any reasonable
operating system.]

----------------------------------------------------------- 

% This is a comment

% Some basic numerical operations

3 + 5
abs(-3)
exp(1)
sin(1)
pi
sin(pi/2)
2^10
3.2e1
4.5e100
1e-9 * 1e-12

% variables, arrays

1:6
[1:8]
x = [1:3:30]
size(x)
class(x)
x(1)
x(5)
x(1:5)

% help -- a bit limited, but a place to start

help sin
help for

% loops

for i=3:7
[i,i^2,i^3]
end

% Matrix operations

A = [ 0 -1 ; 1 0]
A^2
A^3
A^0
eye(2)
eye(8)
zeros([2 2])
zeros([8 2])

s=eye(2)
for i=0:10
s = s + A^i/factorial(i)  % this gets printed each time...
end

% Let's add some semicolons...

A = [ 0 -1 ; 1 0]
s=zeros([2 2])
for i=0:20
s = s + A^i/factorial(i);  % semicolons prevent output
end
s
sin(1)
cos(1)