Transpose of a matrix is the process of swapping the rows to columns. For 2x3 matrix,
Matrix a11 a12 a13 a21 a22 a23 Transposed Matrix a11 a21 a12 a22 a13 a23
Example: Program to Find Transpose of a Matrix
fun main(args: Array<String>) {
val row = 2
val column = 3
val matrix = arrayOf(intArrayOf(2, 3, 4), intArrayOf(5, 6, 4))
// Display current matrix
display(matrix)
// Transpose the matrix
val transpose = Array(column) { IntArray(row) }
for (i in 0..row - 1) {
for (j in 0..column - 1) {
transpose[j][i] = matrix[i][j]
}
}
// Display transposed matrix
display(transpose)
}
fun display(matrix: Array) {
println("The matrix is: ")
for (row in matrix) {
for (column in row) {
print("$column ")
}
println()
}
}
When you run the program, the output will be:
The matrix is: 2 3 4 5 6 4 The matrix is: 2 5 3 6 4 4
In the above program, display()
function is only used to print the contents of a matrix to the screen.
Here, the given matrix is of form 2x3
, i.e. row = 2
and column = 3
.
For the transposed matrix, we change the order of transposed to 3x2
, i.e. row = 3
and column = 2
. So, we have transpose = int[column][row]
The transpose of the matrix is calculated by simply swapping columns to rows:
transpose[j][i] = matrix[i][j]
Here's the equivalent Java code: Java Program to Find transpose of a matrix