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# How to apply a function to each element of a matrix?

HP 50g

How to apply a built-in function, such as [COLLECT()] to all elements of a list, vector or matrix?

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## How to apply a function to each element of a matrix?

Here's one way:

(assumption: RPN mode)

1) If your target object is a vector or matrix, issue the AXL command to convert it to a list.

2) Create a small program object containing the function you want to apply.  For example, if you wanted to apply the SIN function to all elements, create a program that looks like this:

`« SIN »`

3) Execute the MAP command.

4) The result is a list with the function applied to each element.  If you need to convert this back into a matrix/vector, just execute another AXL command.

Replace the SIN function in step 2 with whatever function(s) you wish.

Using your example, if I had a matrix that I wished to apply the COLLECT command to, I'd do the following:

```AXL
« COLLECT »
MAP
AXL```

Hope this helps!

- David

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## How to apply a function to each element of a matrix?

Hi,

MAP can be applied directly to a matrix:

```[[ 1   2   3 ]
[ 4   5   6 ]
[ 7   9   9 ]]
<< SQ >>
MAP

will give

[[ 1   4   9  ]
[ 16  25  36 ]
[ 49  64  81 ]]

```

See page 3-141 of the AUR ( HP-50G Advanced User's Reference )

-Bart
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## How to apply a function to each element of a matrix?

Of course you're right, Bart.  No need for the AXL.  I've been too list-focused lately!

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