Random number generator for matrix

My goal is to create a random number generator for a matrix of size 3x3, for n matrices (meaning as many n matrices as I designate) that will produce random numbers within the bounds [a,b] for the main diagonal of the matrix (elements 11, 22 and 33 in the matrix).

I invision the random generator, as described above, to generate a sample of something like:

matrix 1:

[2, 0, 0;

0, 90, 0;

0 , 0 ,1]

matrix 2:

[3, 0, 0;

0, 12, 0;

0 , 0 ,63]

matrix 3:..

matrix n

I appreciate any and all help with this.

Answer 1

[Abderrahim. B]

Hi!

Perhaps this:

bounds = [10 20] ; % [a b ]
randA = diag(diag(randi(bounds, 3,3)))

randA = 3×3

13 0 0 0 13 0 0 0 19

Hope this helps

[N/A]

Yes, thats perfect.

I suppose I can run a for loop that would produce n randomly generated matrices?

[Abderrahim. B]

Yes

n = 4 ;
bounds = [10 20] ; % [a b ]
for ii = 1:n
 randA = diag(diag(randi(bounds, 3,3)))   

end

randA = 3×3

20 0 0 0 19 0 0 0 11

randA = 3×3

10 0 0 0 18 0 0 0 15

randA = 3×3

12 0 0 0 14 0 0 0 13

randA = 3×3

17 0 0 0 12 0 0 0 12

[N/A]

Appreciate your help (and genius) greatly.

Matthew

[Abderrahim. B]

My pleasure!