Want my random matrix to only display distinct elements

Current'y running this code to output a random 5x5 matrix with elements between 1 & n^2, n being 5 in this case (array size). I want every element to be a DISTINCT integer between 1-25 a.k.a. non-repeating. What must I adjust?

randomMatrix(5)

function A=randomMatrix(n)

A=zeros(n);

for i=1:n

for j=1:n

A(i,j)=uint16(rand(1)*(n^2-1)+1);

end

end

end

OUTPUT:

21 23 4 23 16

3 8 14 24 24

5 24 24 13 20

4 11 23 20 24

17 2 21 23 17

Answer 1

[DGM]

Just like so

N = 5;
A = 1:N^2;
A = reshape(A(randperm(N^2)),N,N)

A = 5×5

20 12 10 16 21 25 6 7 18 17 13 8 3 2 23 14 1 19 5 24 15 22 4 11 9

If you want to cast the output as integer class, you can.