how to create a 2*2 matrix by combining two matrices with size of 2*2 ie A and B are 2*2 and i want to get C also 2*2

A =[1 2;3 4];

B=[2 3;5 6];

C=[A;B] ( should be in 2*2 )

[Torsten]

Your operation

C=[A;B]

concatenates A and B vertically. The result is a 4x2 matrix.

I guess @Walter Roberson listed almost all operations possible that let C be 2x2.

[Walter Roberson]

I missed the logic operators and the relational operators

[Torsten]

:-)

[David Goodmanson]

What about A\B, A/B and variations on that theme? I mean, you could make a good argument that Matlab was founded on the backslash command.

[Walter Roberson]

@David Goodmanson

Already included in https://www.mathworks.com/matlabcentral/answers/1968834-how-to-create-a-2-2-matrix-by-combining-two-matrices-with-size-of-2-2-ie-a-and-b-are-2-2-and-i-want?s_tid=srchtitle#comment_2753619

[Stephen23]

@Walter Roberson: MAX & MIN with two inputs.

Answer 1

[Walter Roberson]

A =[1 2;3 4];
B=[2 3;5 6];

switch randi(12)
    case 1; C = A + B;
    case 2; C = A - B;
    case 3; C = B - A;
    case 4; C = A .* B;
    case 5; C = A * B;
    case 6; C = B * A;
    case 7; C = A ./ B;
    case 8; C = B ./ A;
    case 9; C = A.^B;
    case 10; C = B.^A;
    case 11; C = mod(A,B);
    case 12; C = mod(B,A);
end

C

C = 2×2

12 15 26 33

[Walter Roberson]

A =[1 2;3 4];
B=[2 3;5 6];

fcns = {@lt, @le, @eq, @gt, @ge, @and, @or, @times, @mtimes, @plus, @minus, @rdivide, @mrdivide, @ldivide, @mldivide, @min, @max};
fnames = ["<", "<=", "==", ">=", ">", "&", "|", ".*", "*", "+", "-", "./", "/", ".\", "\", "min", "max"];

for order = 1 : 2
    switch order
        case 1; first = A; second = B; firstname = "A"; secondname = "B";
        case 2; first = B; second = A; firstname = "B"; secondname = "A";
    end
    for fidx = 1 : length(fcns)
        opname = firstname + " " + fnames(fidx) + " " + secondname + " = ";
        value = fcns{fidx}(first, second);
        disp(opname);
        disp(value);
        disp("");
    end
end

A < B = 

   1   1
   1   1

A <= B = 

   1   1
   1   1

A == B = 

   0   0
   0   0

A >= B = 

   0   0
   0   0

A > B = 

   0   0
   0   0

A & B = 

   1   1
   1   1

A | B = 

   1   1
   1   1

A .* B = 

     2     6
    15    24

A * B = 

    12    15
    26    33

A + B = 

     3     5
     8    10

A - B = 

    -1    -1
    -2    -2

A ./ B = 

    0.5000    0.6667
    0.6000    0.6667

A / B = 

    1.3333   -0.3333
    0.6667    0.3333

A .\ B = 

    2.0000    1.5000
    1.6667    1.5000

A \ B = 

    1.0000    0.0000
    0.5000    1.5000

A min B = 

     1     2
     3     4

A max B = 

     2     3
     5     6

B < A = 

   0   0
   0   0

B <= A = 

   0   0
   0   0

B == A = 

   0   0
   0   0

B >= A = 

   1   1
   1   1

B > A = 

   1   1
   1   1

B & A = 

   1   1
   1   1

B | A = 

   1   1
   1   1

B .* A = 

     2     6
    15    24

B * A = 

    11    16
    23    34

B + A = 

     3     5
     8    10

B - A = 

     1     1
     2     2

B ./ A = 

    2.0000    1.5000
    1.6667    1.5000

B / A = 

    0.5000    0.5000
   -1.0000    2.0000

B .\ A = 

    0.5000    0.6667
    0.6000    0.6667

B \ A = 

    1.0000   -0.0000
   -0.3333    0.6667

B min A = 

     1     2
     3     4

B max A = 

     2     3
     5     6

[Walter Roberson]

min and max added at the suggestion of @David Goodmanson