>> i=2;
>> if i==3 
      disp('Hi!'); % this works if i is 3
   else
      disp('Ho!'); % this works if i is NOT 3
   end

Ho!	     % since i was 2 to start with, the second option was implemented

>> while i <= 5 
	 i = i+1  % as long as i is less that or equal to 5, increment i by 1 in each step
   end

i =
     3
i =
     4
i =
     5
i =
     6

>> if i~=5 % not equal to is tested using ~=
      disp('ho ho!') 
   end
ho ho! % notice that i was set to 6 at the end of the previous while loop.

>> 
>> A = [0 5 2 4;0 0 0 0; 2 3 0 2];
>> [A1,ne] = MyRREF(A) % MyRREF written by Bala
A1 =
    1.0000         0   -0.6000   -0.2000
         0    1.0000    0.4000    0.8000
         0         0         0         0
ne =
     5
>> A2 = rref(A)
A2 =
    1.0000         0   -0.6000   -0.2000
         0    1.0000    0.4000    0.8000
         0         0         0         0
>> norm(A1-A2)
ans =
   2.0015e-16	% this number is essentially zero

>> m=8;n=10;A= round(m*rand(m,n))
A =
     7     8     3     5     2     4     6     8     7     7
     7     8     7     6     0     3     6     3     8     2
     1     1     6     6     1     6     2     5     4     7
     7     8     8     3     7     6     5     2     1     3
     5     8     5     5     6     1     5     6     1     2
     1     4     0     1     3     4     1     2     2     2
     2     6     7     6     8     4     1     4     7     5
     4     1     7     0     0     5     4     6     2     4
>> [A1,ne] = MyRREF(A)           
A1 =
  Columns 1 through 8
    1.0000         0         0         0         0         0         0         0
         0    1.0000         0         0         0         0         0         0
         0         0    1.0000         0         0         0         0         0
         0         0         0    1.0000         0         0         0         0
         0         0         0         0    1.0000         0         0         0
         0         0         0         0         0    1.0000         0         0
         0         0         0         0         0         0    1.0000         0
         0         0         0         0         0         0         0    1.0000
  Columns 9 through 10
    1.6131    1.5802
    1.6700   -0.7755
    0.6750   -0.4112
    0.2107    0.7488
   -1.5352    0.1666
    0.1191    0.5898
   -4.3192   -1.3583
    0.9724    0.6362
ne =
    63
>> A2 = rref(A)                  
A2 =
  Columns 1 through 8
    1.0000         0         0         0         0         0         0         0
         0    1.0000         0         0         0         0         0         0
         0         0    1.0000         0         0         0         0         0
         0         0         0    1.0000         0         0         0         0
         0         0         0         0    1.0000         0         0         0
         0         0         0         0         0    1.0000         0         0
         0         0         0         0         0         0    1.0000         0
         0         0         0         0         0         0         0    1.0000
  Columns 9 through 10
    1.6130    1.5802
    1.6700   -0.7755
    0.6750   -0.4112
    0.2107    0.7488
   -1.5352    0.1666
    0.1190    0.5898
   -4.3191   -1.3583
    0.9724    0.6362
>> norm(A1-A2)                   
ans =
   3.1273e-05	% again, this number is essentially zero