How to divide rows in matlab and make into another matrix?

I am trying to write a program that will divide each row by the sum of the column and place that answer in another matrix.

Here is what I have so far:

toy_identity = eye(3);
a2 = xlsread('Matrix.xlsx', 4, 'B2:D2')
b2 = xlsread('Matrix.xlsx', 4, 'B3:D3')
c2 = xlsread('Matrix.xlsx', 4, 'B4:D4')
Xj = xlsread('Matrix.xlsx', 4, 'B6:D6')
xij = [a2; b2; c2]
toy_A = xij/Xj
toy_f = randi(200, 3, 1); 
y = [inv(toy_identity - toy_A)]*toy_f;

the original matrix is:

[ 150 0 100; 
  20 100 35; 
  75 65 110]

When I divide it by the sum, it only comes up with

[.37; .18; .34]

where I want it to be a 3x3 matrix Any assistance is much appreciated. Thanks

[Violet]

End goal is to make this into a program that will work for any n x m matrix (i.e. 500x500). I'm assuming I will need to use a for or if function?

Answer 1

[betty bowles]

toy_A = xij/Xj, where xij is a 3x3 matrix and Xj is a 1X3 is attempting to multiply xij by the 'inverse' of Xj, not do what you are wanting. Try slugging it out approach:

toy_A(:,1)=xij(:,1)/Xj(1); 
toy_A(:,2)=xij(:,2)/Xj(2); 
toy_A(:,3)=xij(:,3)/Xj(3);

[Violet]

That does help, but then when I get to the last line (y = [inv(toy_identity - toy_A)]*toy_f;) it says dimensions still do not match for the "-" operation. How can I make toy_A back into a 3x3?