horizontal-concatenation#

Purpose#

Horizontally concatenates matrices by appending columns.

Format#

y = a ~ b

Parameters#

param a:

Left matrix.

type a:

matrix or vector

param b:

Right matrix.

type b:

matrix or vector

Returns#

return y:

Matrix with columns of a followed by columns of b.

rtype y:

rows(a) x (cols(a) + cols(b)) matrix

Examples#

Vector to Matrix#

a = { 1, 2, 3 };
b = { 4, 5, 6 };
y = a ~ b;

y =    1.0000000    4.0000000
       2.0000000    5.0000000
       3.0000000    6.0000000

Matrix Concatenation#

a = { 1 2,
      3 4 };
b = { 5 6,
      7 8 };
y = a ~ b;

y =    1.0000000    2.0000000    5.0000000    6.0000000
       3.0000000    4.0000000    7.0000000    8.0000000

Building a Matrix#

x = seqa(1, 1, 5);
y = x ~ x.^2 ~ x.^3;

y =    1.0000000    1.0000000    1.0000000
       2.0000000    4.0000000    8.0000000
       3.0000000    9.0000000   27.0000000
       4.0000000   16.0000000   64.0000000
       5.0000000   25.0000000  125.0000000

Remarks#

Both operands must have the same number of rows.
Scalars are treated as 1x1 matrices.
For string arrays, use $~.