How to make a matrix from many column vectors in Matlab Octave
To create a matrix from many column vectors in Matlab / Octave use horzcat() function
horzcat(v1,v2 [,v3,...])
The v1 and v2 parameters are two or more column vectors.
Alternatively you can use the syntax
[v1,v2]
The result is a two-column matrix.
Examples
Example 1
Create three column vectors
>> v1=[1; 2; 3];
>> v2=[4; 5; 6];
>> v3=[7; 8; 9];
Concatenate vectors in an array using horzcat() function
>> horzcat(v1,v2,v3)
ans =
1 4 7
2 5 8
3 6 9
The horzcat() function concatenates vectors horizontally.
The result is a three column matrix.
$$ \begin{pmatrix} 1 \\ 2 \\ 3 \end{pmatrix} \sqcup \begin{pmatrix} 4 \\ 5 \\ 6 \end{pmatrix} \sqcup \begin{pmatrix} 7 \\ 8 \\ 9 \end{pmatrix} \Rightarrow \begin{pmatrix} 1 & 4 & 7 \\ 2 & 5 & 8 \\ 3 & 6 & 9 \end{pmatrix} $$
Example 2
Concatenate vectors in an array using syntax [v1,v2,v3]
>> [v1,v2,v3]
ans =
1 4 7
2 5 8
3 6 9
The result is a three column matrix.
