How to sum all column values in multi-dimensional array

Question

How can I add all the columnar values by associative key? Note that key sets are dynamic.

Input array:

Array
(
    [0] => Array
        (
            [gozhi] => 2
            [uzorong] => 1
            [ngangla] => 4
            [langthel] => 5
        )

    [1] => Array
        (
            [gozhi] => 5
            [uzorong] => 0
            [ngangla] => 3
            [langthel] => 2
        )

    [2] => Array
        (
            [gozhi] => 3
            [uzorong] => 0
            [ngangla] => 1
            [langthel] => 3
        )
)

Desired result:

Array
(
    [gozhi] => 10
    [uzorong] => 1
    [ngangla] => 8
    [langthel] => 10
)

Can someone please help me?