How to sum the elements of two 2d arrays?

I'm trying to add the elements of two two-dimensional arrays with each other, by using the java stream API.
I managed the problem with a one-dimensional array, but I don't know how to proceed further with a two-dimensional array.

Here is the code to transform:

public static int[][] add(final int[][] m1, final int[][] m2) {
    int[][] e = new int[m2.length][m2[0].length];
    for (int i = 0; i < m1.length; i++) {
        for (int j = 0; j < m1[i].length; j++) {
            e[i][j] = m1[i][j] + m2[i][j];
        }
    }
    return e;
}

And this is the code which I wrote for the same purpose but only with a one-dimensional array:

public static int[] addOneDimension(final int[] a, final int b[]) {
    int[] c = IntStream.range(0, a.length)
            .map(i -> a[i] + b[i])
            .toArray();
    return c;
}

In particular, I don't know how to use the map() method on two-dimensional arrays.

This can be implemented using IntStream and its methods mapToObj to handle rows and map to handle elements in each row:

static int[][] add(int[][] a, int [][] b) {
    return IntStream.range(0, a.length)
                    .mapToObj(i -> add(a[i], b[i])) // int[] is object
                    .toArray(int[][]::new);         // create new 2D array
}
    
static int[] add(int[] a, int[] b) {
    return IntStream.range(0, a.length)
                    .map(i -> a[i] + b[i])  // processing int operands
                    .toArray();             // IntStream.toArray() returns int[]
}

Test

int[][] a = {
    {1, 2},
    {3, 4}
};

int[][] b = {
    {10, 20},
    {30, 40}
};

System.out.println("Sum of a + b = ");
Arrays.stream(add(a, b))
      .map(Arrays::toString)
      .forEach(System.out::println);

Output

Sum of a + b = 
[11, 22]
[33, 44]

Single-method implementation may be as follows:

static int[][] add2D(int[][] a, int [][] b) {
    return IntStream
            .range(0, a.length)
            .mapToObj(i -> IntStream
                            .range(0, a[i].length)
                            .map(j -> a[i][j] + b[i][j])
                            .toArray()
            )
            .toArray(int[][]::new);
}