A = [ [0 -1] ; [1 0] ]

e_to_the_A = [ [cos(1) -sin(1) ] ; [ sin(1) cos(1) ] ]

s=zeros([2 2])
for i=0:5
s = s + A^i/factorial(i);  % semicolons prevent output
end
s
s - e_to_the_A

s=zeros([2 2])
for i=0:10
s = s + A^i/factorial(i);  % semicolons prevent output
end
s
s - e_to_the_A