```eshow:=proc(A)
local fn,s,n,U,AU,NAU,con;
with(plots):with(linalg):
with(plottools):
#Number of frames
fn:=64:
#Length of axes
s:=1.5*max(A[1,1],A[1,2],A[2,1],A[2,2],1):
#Sequence of unit vectors
U:=seq(vector([cos((n-1)*2*Pi/fn), sin((n-1)*2*Pi/fn)]),n=1..fn):
#Sequence of transformed vectors
AU:=seq(multiply(A,U[n]),n=1..fn):
#Sequence of norms of transformed vectors
NAU:=seq(norm(AU[n]),n=1..fn):
#Function to convert numbers to strings
con:=x->convert(evalf(x,3),string):
#Display a sequence of frames
display(
[seq(
#Each frame consists of several plots
display([
#Plot the unit vector
arrow([0,0],[U[n][1],U[n][2]],.03*s,.08*s,.1,color=blue),
#Plot the transformed vector
arrow([0,0],[AU[n][1],AU[n][2]],.03*s,.08*s,.1,color=red),
#Plot some axes
plot({[[-s,0],[s,0]],[[0,-s],[0,s]]},color=black),
#Plot some text describing the vectors
textplot([[1.1*s,.8*s,`A = matrix([[`
.(A[1,1]).`,`.(A[1,2]).`],[`. (A[2,1]).`,`.(A[2,2]).`]])`],[1.25*s,.4*s,`u = (`.
(con(U[n][1])).`,`.(con(U[n][2])).`)`],[1.25*s,0,`|u|=1`],[1.25*s,-.4*s,`Au = (`.
(con(AU[n][1])).`,`.(con(AU[n][2])).`)`],[1.25*s,-.8*s,`|Au| =`.(con(NAU[n]))]],
align=RIGHT,font=[TIMES,ROMAN,12]),
#Plot some color blocks to key the text
plot([[1.1*s,.4*s]],color=blue,style=point,symbol=BOX),
plot([[1.1*s,-.4*s]],
color=red,style=point,symbol=BOX)]),
#Finish declaring the sequence
n=1..fn)],
#Options to apply to all frames
insequence=true,view=[-s..3.5*s,-s..s],scaling=constrained,axes=none);
end:
```
ÿ