07-Jan-2022 18:12:59

complex_numbers_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2.
  Demonstrate complex number usage.

COMPLEX_NUMBERS_TEST01:
  Demonstrate various ways of assigning a complex value.

  A1 = 1 + 2 * i =        ( 1.000000, 2.000000 )
  A2 = 1 + 2 * j =        ( 1.000000, 2.000000 )
  A3 = 1 + 2 * sqrt(-1) = ( 1.000000, 2.000000 )
  A4 = complex(1,2) =     ( 1.000000, 2.000000 )

COMPLEX_NUMBERS_TEST02
  Apply intrinsic functions to COMPLEX variables

  a =              (1.000000,2.000000)
  - a =            (-1.000000,-2.000000)
  a + 3 =          (4.000000,2.000000)
  a + 5 * i =      (1.000000,7.000000)
  4 * a =          (4.000000,8.000000)
  a / 8 =          (0.125000,0.250000)
  a * a =          (-3.000000,4.000000)
  a^2 =            (-3.000000,4.000000)
  1/a =            (0.200000,-0.400000)

  abs(a) =          2.236068
  acos(a) =        (1.143718,-1.528571)
  angle(a) =        1.107149
  asin(a) =        (0.427079,1.528571)
  atan(a) =        (1.338973,0.402359)
  complex(1) =     (1.000000,0.000000)
  complex(2,3) =   (2.000000,3.000000)
  conj(a) =        (1.000000,-2.000000)
  cos(a) =         (2.032723,-3.051898)
  cosh(a) =        (-0.642148,1.068607)
  exp(a) =         (-1.131204,2.471727)
  imag(a) =         2.000000
  log(a) =         (0.804719,1.107149)
  log10(a) =       (0.349485,0.480829)
  real(a) =         1.000000
  sin(a) =         (3.165779,1.959601)
  sinh(a) =        (-0.489056,1.403119)
  sqrt(a) =        (1.272020,0.786151)
  tan(a) =         (0.033813,1.014794)
  tanh(a) =        (1.166736,-0.243458)

  sum(b) =         (9.000000,12.000000)
  product(b) =     (-85.000000,20.000000)
  norm(b) =         9.539392
  a'*a =           (5.000000,0.000000)

  D = C * B

  (  6.200000,  14.200000)
  ( 15.200000,  26.200000)
  ( 24.200000,  38.200000)

COMPLEX_NUMBERS_TEST:
  Normal end of execution.

07-Jan-2022 18:13:00