In this program, you'll learn to add two matrices using multi-dimensional arrays in Kotlin.

```
fun main(args: Array<String>) {
val rows = 2
val columns = 3
val firstMatrix = arrayOf(intArrayOf(2, 3, 4), intArrayOf(5, 2, 3))
val secondMatrix = arrayOf(intArrayOf(-4, 5, 3), intArrayOf(5, 6, 3))
// Adding Two matrices
val sum = Array(rows) { IntArray(columns) }
for (i in 0..rows - 1) {
for (j in 0..columns - 1) {
sum[i][j] = firstMatrix[i][j] + secondMatrix[i][j]
}
}
// Displaying the result
println("Sum of two matrices is: ")
for (row in sum) {
for (column in row) {
print("$column ")
}
println()
}
}
```

When you run the program, the output will be:

Sum of two matrices is: -2 8 7 10 8 6

In the above program, the two matrices are stored in 2d array, namely `firstMatrix` and `secondMatrix`. We've also defined the number of rows and columns and stored them in variables `rows` and `columns` respectively.

Then, we initialize a new array of the given rows and columns called `sum`. This matrix array stores the addition of the given matrices.

We loop through each index of both arrays to add and store the result.

Finally, we loop through each element in the sum array using a for (foreach variation) loop to print the elements.

Here's the equivalent Java code: Java program to add two matrices using arrays