Algosim documentation: OuterProduct

OuterProduct

The outer product of two vectors.

Syntax

Description

If u and v are vectors, then OuterProduct(u, v) is the outer product of u and v.

Notes

The binary infix operator ⊗ is implemented by OuterProduct.

Examples

OuterProduct(❨1, 2, 3, 4❩, ❨1, 2, 5, 10❩)
⎛ 1   2   5  10⎞
⎜ 2   4  10  20⎟
⎜ 3   6  15  30⎟
⎝ 4   8  20  40⎠

v ≔ SequenceVector(12); OuterProduct(v, v)
⎛  1    2    3    4    5    6    7    8    9   10   11   12⎞
⎜  2    4    6    8   10   12   14   16   18   20   22   24⎟
⎜  3    6    9   12   15   18   21   24   27   30   33   36⎟
⎜  4    8   12   16   20   24   28   32   36   40   44   48⎟
⎜  5   10   15   20   25   30   35   40   45   50   55   60⎟
⎜  6   12   18   24   30   36   42   48   54   60   66   72⎟
⎜  7   14   21   28   35   42   49   56   63   70   77   84⎟
⎜  8   16   24   32   40   48   56   64   72   80   88   96⎟
⎜  9   18   27   36   45   54   63   72   81   90   99  108⎟
⎜ 10   20   30   40   50   60   70   80   90  100  110  120⎟
⎜ 11   22   33   44   55   66   77   88   99  110  121  132⎟
⎝ 12   24   36   48   60   72   84   96  108  120  132  144⎠

See also