system_dependent('setprintcolorchoice', -1)
; ; ; ; ; ; 
disp(get(0, 'Echo'))
off
set(0, 'Echo', 'off')
set(0, 'Format', 'short')
set(0, 'FormatSpacing', 'loose')
feature('EightyColumns', 0);
system_dependent('TabCompletion', 100);
U=[1 2 -2;2 -1 3;1 3 2]

U =

     1     2    -2
     2    -1     3
     1     3     2

V=[-5 6 -1;9 -10 2;2 5 9]

V =

    -5     6    -1
     9   -10     2
     2     5     9

P=inv(U)*V

P =

    1.0000   -2.0000   -1.0000
   -1.0000    3.0000    2.0000
    2.0000   -1.0000    2.0000

format rational
P

P =

      1           -2           -1      
     -1            3            2      
      2           -1            2      

U= [1 2 0 0;0 1 1 0; 1 0 0 -1; 1 1 -1 1]

U =

      1            2            0            0      
      0            1            1            0      
      1            0            0           -1      
      1            1           -1            1      

U= U.'

U =

      1            0            1            1      
      2            1            0            1      
      0            1            0           -1      
      0            0           -1            1      

V= [2 3 2 2; 2 3 4 3; 0 -1 0 1; 0 0 1 -1;
V= [2 3 2 2; 2 3 4 3; 0 -1 0 1; 0 0 1 -1]

V =

      2            3            2            2      
      2            3            4            3      
      0           -1            0            1      
      0            0            1           -1      

P =inv(U)*V

P =

      0            1            1            1      
      1            0            1            1      
      1            1            0            1      
      1            1            1            0      

U=[1 2;2 -3]

U =

      1            2      
      2           -3      

A=[-1 3;1 2]

A =

     -1            3      
      1            2      

V=U*A

V =

      1            7      
     -5            0      

u=[1 2 0;3 1 2; 2 1 3];
a=[-1 1 -2;0 1 1;1 -1 1];
v=u*a

v =

     -1            3            0      
     -1            2           -3      
      1            0            0      

V=[1 1+i 0;2-i 0 2i;0 1 2+i]

V =

      1                          1       +    1i            0                    
      2       -    1i            0                          0       +    2i      
      0                          1                          2       +    1i      

A=[-1+i 1-2i -2-i; 4+3i -8-3i -3+9i;-2+i 3-3i -3-3i]

A =

     -1       +    1i            1       -    2i           -2       -    1i      
      4       +    3i           -8       -    3i           -3       +    9i      
     -2       +    1i            3       -    3i           -3       -    3i      

U=V*inv(A)

U =

     -3       -    3i            1       +    1i            1       +    4i      
     -7       +    1i            2       -      *            5       +    2i      
      5       -      *            2       -    2i            3       +    3i      

% Symbolicky vypocet alg. a geom. nasobnosti
clear all
load diagmat2
A

A =

      2            1            1      
      2            1           -2      
     -1            0           -2      

syms x
solve(x^3-x^2-5*x-3)
 
ans =
 
[  3]
[ -1]
[ -1]
 
eval(solve(x^3-x^2-5*x-3))

ans =

      3      
     -1      
     -1      

poly(sym(A))
 
ans =
 
x^3-x^2-5*x-3
 
eval(solve(poly(sym(A)))
??? eval(solve(poly(sym(A)))
                            |
Error: ")" expected, "end of line" found.

eval(solve(poly(sym(A))))

ans =

      3      
     -1      
     -1      

rank(sym(A))
 
ans =
 
3
 
help rank

 RANK   Matrix rank.
    RANK(A) provides an estimate of the number of linearly
    independent rows or columns of a matrix A.
    RANK(A,tol) is the number of singular values of A
    that are larger than tol.
    RANK(A) uses the default tol = max(size(A)) * norm(A) * eps.

 Overloaded methods
    help sym/rank.m

diary off