Linear combination of two single column matrix

I get two matrix :

A =
  1
  2
  3

B = 
   12
   13
   14

i want to create C with this inside :

C = 
   1 2 3 4 5 6 7 8 9 10 11 12
   2 3 4 5 6 7 8 9 10 11 12 13
   3 4 5 6 7 8 9 10 11 12 13 14

the only way i succeed to do that is with the following code :

for i= 1,69;
    C (i,:) = linspace( A(i),B(i),12 )
end

i'm looking for a non-loop solution. is there any one ?

thanks

Answer 1

[Andrei Bobrov]

C = bsxfun(@plus,A,0:mean(B-A))

or

n = B-A;
C = bsxfun(@plus,A,0:n(1))

or

C = bsxfun(@plus,A-1,A(1):B(1))

or

n = 12
bsxfun(@plus,A,(B - A)/(n-1)*(0:n-1))

Answer 2

[Jan]

LINSPACE does not do any complicated stuff. Therefore it is easy to adjust:

function C = linspaceVector(A, B, n)
A = A(:);
B = B(:);
C = [bsxfun(@plus, A, (B - A) * ((0:n-2) ./ (floor(n) - 1))), B];

[Andrei Bobrov]

Hi Jan.

bsxfun(@plus,A,cumsum((B - A)/(n-1)*[0 ones(1,n-1)],2))

or

cumsum([A (B - A)/(n-1)*ones(1,n-1)],2)