C Program to Find Transpose of a Matrix

Overview

A transpose of a matrix is obtained by interchanging rows of the original matrix with columns and vice-versa.

It is very commonly used in mathematics as well as programming while multiplying two matrices.

Prerequisites

Program to Find the Transpose of a Matrix

Finding the transpose of a matrix is a fundamental operation in matrix mathematics. The transpose of a matrix in C is achieved by flipping its rows and columns. For a matrix ( A ) of dimensions ( m * n ), its transpose ( A^T ) will have dimensions ( n * m ). This section provides a simple program to compute the transpose of a matrix in C.

C Code:

Upon executing the program, it will prompt you for the matrix's dimensions and individual elements. Subsequently, the program will output the matrix's transpose.

Print the transpose of a matrix using for loop

When printing the transpose of a matrix, we essentially read elements column-wise from the original matrix and print them row-wise. A for loop structure is an efficient way to access the matrix elements in this modified sequence and print the transposed view.

Methodology:

Nested Looping: Use nested for loops to access each element of the original matrix.
Modified Access Sequence: Instead of printing element [i][j] directly, print element [j][i] to transpose the matrix while printing.

C Code:

Conclusion

Transposing a matrix in C is a process of flipping the matrix across its diagonal, essentially turning rows into columns and vice versa.
The operation is crucial for matrix mathematics and various applications in programming, such as graphics transformations and scientific computing.
In C, transposition involves nested for loops that iterate through the array elements and swap their indices to reorient the data structure.
The provided C program examples demonstrate how to prompt for matrix input, perform the transpose operation, and then print the transposed matrix.
Such matrix manipulation exercises are excellent for understanding the use of multidimensional arrays and control structures in C programming.