# amult#

## Purpose#

Performs matrix multiplication on the planes described by the two trailing dimensions of N-dimensional arrays.

## Format#

y = amult(a, b)#
Parameters:
• a (N-dimensional array)

• b (N-dimensional array)

Returns:

y (N-dimensional array) – containing the product of the matrix multiplication of the planes described by the two trailing dimensions of a and b.

## Examples#

```/*
** Create an additive sequence from 1-12 and reshape it into
** a 2x3x2 dimensional
*/
a = areshape(seqa(1, 1, 12), 2|3|2);

b = areshape(seqa(1, 1, 16), 2|2|4);

/*
** Multiply the two 3x2 matrices in 'a' by the corresponding
** 2x4 matrices in 'b'
*/
y = amult(a, b);
```

a is a 2x3x2 array, such that: [1,1,1] through [1,3,2] =

```1.0000000        2.0000000
3.0000000        4.0000000
5.0000000        6.0000000
```

[2,1,1] through [2,3,2] =

```7.0000000        8.0000000
9.0000000        10.000000
11.000000        12.000000
```

b is a 2x2x4 array, such that: [1,1,1] through [1,2,4] =

```1.0000000       2.0000000       3.0000000       4.0000000
5.0000000       6.0000000       7.0000000       8.0000000
```

[2,1,1] through [2,2,4] =

```9.0000000       10.000000       11.000000       12.000000
13.000000       14.000000       15.000000       16.000000
```

y will be a 2x3x4 array, such that: [1,1,1] through [1,3,4] =

```11.000000       14.000000       17.000000       20.000000
23.000000       30.000000       37.000000       44.000000
35.000000       46.000000       57.000000       68.000000
```

[2,1,1] through [2,3,4] =

```167.00000       182.00000       197.00000       212.00000
211.00000       230.00000       249.00000       268.00000
255.00000       278.00000       301.00000       324.00000
```

## Remarks#

The multiplication operator, `*`, performs the same operation for arrays as `amult()`.

All leading dimensions must be strictly conformable, and the two trailing dimensions of each array must be matrix-product conformable.