A=round(10*rand(2,3))-5
A =
     4    -3     4
     2    -1     4
B=round(10*rand(2,3))-5
B =
    -1    -4     3
     4    -1    -5
C=A.*B
C =
    -4    12    12
     8     1   -20
% Kroneckeruv soucin:
B=round(10*rand(2,2))-5
B =
    -4    -3
    -3     1
A
A =
     4    -3     4
     2    -1     4
C=kron(A,B)
C =
   -16   -12    12     9   -16   -12
   -12     4     9    -3   -12     4
    -8    -6     4     3   -16   -12
    -6     2     3    -1   -12     4
a=2:4
a =
     2     3     4
B=eye(3)
B =
     1     0     0
     0     1     0
     0     0     1
kron(a,B)
ans =
     2     0     0     3     0     0     4     0     0
     0     2     0     0     3     0     0     4     0
     0     0     2     0     0     3     0     0     4
kron(2:4,eye(3))
ans =
     2     0     0     3     0     0     4     0     0
     0     2     0     0     3     0     0     4     0
     0     0     2     0     0     3     0     0     4
x=(1:3)
x =
     1     2     3
x=(1:3)'
x =
     1
     2
     3
y=4:6
y =
     4     5     6
y=(4:6)'
y =
     4
     5
     6
x.'*y
ans =
    32
dot(y,x)
ans =
    32
x=x+i
x =
   1.0000 + 1.0000i
   2.0000 + 1.0000i
   3.0000 + 1.0000i
y=y-i
y =
   4.0000 - 1.0000i
   5.0000 - 1.0000i
   6.0000 - 1.0000i
x'*y
ans =
  29.0000 -21.0000i
dot(y,x)
ans =
  29.0000 +21.0000i
y'*x
ans =
  29.0000 +21.0000i
dot(y,x)
ans =
  29.0000 +21.0000i
acos(dot(y,x)/(norm(x)*norm(y)))
ans =
   0.8849 - 0.6818i
acos(abs(dot(y,x))/(norm(x)*norm(y)))
ans =
    0.2418
ans*180/pi
ans =
   13.8561
x=(1:3)
x =
     1     2     3
y=(4:6)'
y =
     4
     5
     6
acos(dot(y,x)/(norm(x)*norm(y)))
ans =
    0.2257
ans*180/pi
ans =
   12.9332
A
A =
     4    -3     4
     2    -1     4
diag([-2,3])*A
ans =
    -8     6    -8
     6    -3    12
A*diag([-2,3,4])
ans =
    -8    -9    16
    -4    -3    16
A=round(10*rand(2,3))-5
A =
    -2    -5    -1
    -3     2     4
A=round(10*rand(4,3))-5
A =
     0    -3     2
    -1     2    -1
     3     3     3
     0    -5     0
diary off