For matrix multiplication to take place, the number of columns of first matrix must be equal to the number of rows of second matrix. In our example, i.e.
c1 = r2
Also, the final product matrix is of size r1 x c2
, i.e.
product[r1][c2]
You can also multiply two matrices using functions.
Example: Program to Multiply Two Matrices
fun main(args: Array<String>) {
val r1 = 2
val c1 = 3
val r2 = 3
val c2 = 2
val firstMatrix = arrayOf(intArrayOf(3, -2, 5), intArrayOf(3, 0, 4))
val secondMatrix = arrayOf(intArrayOf(2, 3), intArrayOf(-9, 0), intArrayOf(0, 4))
// Mutliplying Two matrices
val product = Array(r1) { IntArray(c2) }
for (i in 0..r1 - 1) {
for (j in 0..c2 - 1) {
for (k in 0..c1 - 1) {
product[i][j] += firstMatrix[i][k] * secondMatrix[k][j]
}
}
}
// Displaying the result
println("Product of two matrices is: ")
for (row in product) {
for (column in row) {
print("$column ")
}
println()
}
}
When you run the program, the output will be:
Product of two matrices is: 24 29 6 25
In the above program, the multiplication takes place as:
|- (a11 x b11) + (a12 x b21) + (a13 x b31) (a11 x b12) + (a12 x b22) + (a13 x b32) -| |_ (a21 x b11) + (a22 x b21) + (a23 x b31) (a21 x b12) + (a22 x b22) + (a23 x b32) _|
In our example, it takes place as:
|- (3 x 2) + (-2 x -9) + (5 x 0) = 24 (3 x 3) + (-2 x 0) + (5 x 4) = 29 -| |_ (3 x 2) + ( 0 x -9) + (4 x 0) = 6 (3 x 3) + ( 0 x 0) + (4 x 4) = 25 _|
Here's the equivalent Java code: Java program to multiply two matrices