# How do I add a column vector or matrix to a 6X6 original matrix?

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M.Bilal on 25 Jan 2020
Commented: M.Bilal on 4 Feb 2020
I have a 6x6 matrix, say C_m, in which some entries are zero and all other entries are cloumn vector c11, c12 & c44 eg c11 = [a11,a12,a13...], c12 = [b11,b12,b13...], c13 = [d11,d12,d13...], c44 =[e11,e12,13...]. All column vectors are of the order of 142x1 matrix.
How do I define the column vectors in a 6x6 matrix (C_m), so that matlab recognizes it?
C_m = [c11 c12 c12 0 0 0
c12 c11 c12 0 0 0
c12 c12 c11 0 0 0
0 0 0 2*c44 0 0
0 0 0 0 2*c44 0
0 0 0 0 0 2*c44]
When i run the program, following problem occur? how do i solve this?
Error using horzcat
Dimensions of matrices being concatenated are not
consistent.
Error in bilal2 (line 287)
287 C_m = [c11 c12 c12 0 0 0
Guillaume on 27 Jan 2020
Edited: Guillaume on 27 Jan 2020
Before blindly trying things without understand what the implications are, please explain why you want to store several somethings that have size 142x1 into something that is size 6x6? Shouldn't the container be big enough to store the containee?
What are you planning to do afterward with C_m ? Yes, you could make C_m a cell array, but you won't be able to perform mathematical operations on the cell array itself, only on individual cells.
M.Bilal on 27 Jan 2020
Well, C_m is a stiffness matrix, in which c11,c12,c44 etc are stiffnesses.
c11, c12,c44 are column matrix , not a single value. I am planning to develop C_m matrix which contains c11,c12,c44.

Philippe Lebel on 27 Jan 2020
Edited: Philippe Lebel on 27 Jan 2020
here is an example:
clear all
zeros_col = zeros(142,1);
c11 = (1:142)';
fantastic_matrix = [c11 zeros_col zeros_col zeros_col zeros_col zeros_col;
zeros_col zeros_col zeros_col zeros_col zeros_col zeros_col;
zeros_col zeros_col zeros_col zeros_col zeros_col zeros_col;
zeros_col zeros_col zeros_col zeros_col zeros_col zeros_col;
zeros_col zeros_col zeros_col zeros_col zeros_col zeros_col;
zeros_col zeros_col zeros_col zeros_col zeros_col zeros_col]
That is if you want to have a matrix in order to compute some things with matrix multiplications.
If you want to just store things:
clear all
c11 = (1:142)';
fantastic_cell_array = {c11 0 0 0 0 0;
0 0 0 0 0 0;
0 0 0 0 0 0;
0 0 0 0 0 0;
0 0 0 0 0 0;
0 0 0 0 0 0}
Guillaume on 3 Feb 2020
Again, forget about matlab for now. In mathematics you don't store vectors as elements of a matrix. This bit makes no sense.
M.Bilal on 4 Feb 2020
Right.so nice of you. Thanks for time.

Steven Lord on 27 Jan 2020
C_m = [c11 c12 c12 0 0 0
c12 c11 c12 0 0 0
c12 c12 c11 0 0 0
0 0 0 2*c44 0 0
0 0 0 0 2*c44 0
0 0 0 0 0 2*c44]
If all of the c* variables are 142-by-1 vectors, you need to concatenate them with zero vectors that are also 142-by-1. Consider a smaller example:
V = [1; 2; 3];
D1 = [V, 0] % Fails
D2 = [V, zeros(size(V))] % Works
If you want to concatenate together 0's and vectors, you may want to make a variable that contains a zero vector of the appropriate size to make the sizes match.
V = [1; 2; 3];
Z = zeros(size(V));
A = [V Z Z; Z V Z; Z Z V]
M.Bilal on 27 Jan 2020
Steven Lord, thankyou v.much for impressive answer. I am working on it.