MATLAB: How can i solve a system which contains matrices

Question

5x + 3y + z = c1

x + y + z = c2

3x + y + 2z = c3

Is there any way to solve this system if c1,c2,c3 are 1 x n matrices with known numbers without using a for loop for each value of c1,c2,c3 ?

Answer 1

Here is the best way i know:

A = [5 3 1
    1 1 1
    3 1 2];
B = [c1(:) c2(:) c3(:)]';
C = inv(A) * B;