combvec

Create all combinations of vectors

Syntax

A = combvec(A1,A2,...)

Description

A = combvec(A1,A2,...) takes any number of inputs A, where each input Ai has Ni columns, and returns a matrix of (N1*N2*...) column vectors, where the columns consist of all combinations found by combining one column vector from each input Ai.

Examples

Generate All Combinations of Vectors Using the combvec Function

This example shows how to generate a matrix that contains all combinations of two matrices, a1 and a2.

Create the two input matrices, a1 and a2. Then call the combvec function to generate all possible combinations.

a1 = [1 2 3; 4 5 6];
a2 = [7 8; 9 10];
a3 = combvec(a1,a2)

a3 =

     1     2     3     1     2     3
     4     5     6     4     5     6
     7     7     7     8     8     8
     9     9     9    10    10    10

Input Arguments

A1 — Input matrix 1

matrix

Input matrix of which you want to calculate all combinations, specified as a matrix with N1 column vectors.

A2 — Input matrix 2

matrix

Input matrix of which you want to calculate all combinations, specified as a matrix with N2 column vectors.

Output Arguments

A — Output matrix

matrix

Output matrix, returned as a matrix of (N1*N2*...) column vectors, where the columns consist of all combinations found by combining one column vector from each input Ai.

Introduced before R2006a