Write a Kotlin Program to Multiply to Matrix Using Multi-dimensional Arrays

Kotlin is a statically typed programming language that supports a wide range of features, including multi-dimensional arrays.

In this tutorial, we will discuss how to multiply two matrices using multi-dimensional arrays in Kotlin.

Matrix multiplication is a common operation in linear algebra and is used in many real-world applications, such as image processing, data analysis, and machine learning.

To multiply two matrices, we need to follow certain rules, and the resulting matrix will have dimensions based on the input matrices.

To get started with matrix multiplication, we need to create two multi-dimensional arrays that represent the input matrices.

In Kotlin, we can define a 2D array using the Array() function, as shown below:

val matrix1 = Array(2) { arrayOf(1, 2, 3) }
val matrix2 = Array(3) { arrayOf(4, 5), arrayOf(6, 7), arrayOf(8, 9) }

In the above code, we have defined two matrices, matrix1 and matrix2, with dimensions 2×3 and 3×2, respectively.

Now, to multiply the two matrices, we need to follow the below rules:

The number of columns of the first matrix should be equal to the number of rows of the second matrix.
The resulting matrix will have dimensions equal to the number of rows of the first matrix and the number of columns of the second matrix.

Using the above rules, we can write a function to multiply two matrices in Kotlin, as shown below:

fun multiplyMatrices(matrix1: Array<Array<Int>>, matrix2: Array<Array<Int>>): Array<Array<Int>> {
    val result = Array(matrix1.size) { Array(matrix2[0].size) { 0 } }

    for (i in matrix1.indices) {
        for (j in matrix2[0].indices) {
            for (k in matrix2.indices) {
                result[i][j] += matrix1[i][k] * matrix2[k][j]
            }
        }
    }
    return result
}

In the above code, we have defined a function multiplyMatrices that takes two multi-dimensional arrays as input and returns the resulting matrix.

We have used nested loops to iterate over the input matrices and calculate the values of the resulting matrix.

Finally, we can call the multiplyMatrices function with the two input matrices we have defined earlier, as shown below:

val result = multiplyMatrices(matrix1, matrix2)

The resulting result matrix will have dimensions equal to 2×2, and its values will be calculated based on the input matrices.

In conclusion, Kotlin provides a simple and efficient way to multiply two matrices using multi-dimensional arrays.

By following the rules and using the nested loop approach, we can easily calculate the resulting matrix in Kotlin.