- C Programming Examples
- C Programming Examples
- C Print Hello World
- C Get Input from User
- C Print Integer
- C Add Two Numbers
- C Add Subtract Multiply Divide
- C Add n Numbers
- C Area Perimeter of Square
- C Area Perimeter of Rectangle
- C Area Circum of Circle
- C Fahrenheit to Celsius
- C Celsius to Fahrenheit
- C Inches to Centimeters
- C Kilogram to Gram
- C Reverse a Number
- C Swap Two Numbers
- C Interchange Numbers
- C Print ASCII Value
- C Print Fibonacci Series
- C Check Palindrome or Not
- C Check Armstrong or Not
- C Find Armstrong Numbers
- C Find nCr and nPr
- C Find Profit Loss
- C Sum of their Square
- C First & Last Digit Sum
- C Sum of All Digit
- C Product of All Digit
- C Print Total Digit in Number
- C Check Perfect Number
- C Find Basic Gross Salary
- C Round Number to Integer
- C Print Series upto n Term
- C Find Factors of Number
- C if-else & Loop Programs
- C Check Even or Odd
- C Check Prime or Not
- C Check Alphabet or Not
- C Check Vowel or Not
- C Check Leap Year or Not
- C Is Reverse Equal Original
- C Make Calculator
- C Add Digits of Number
- Count Positive Negative Zero
- C Largest of Two Numbers
- C Largest of Three Numbers
- C Smallest of Two Numbers
- C Smallest of Three Numbers
- C Find Factorial of Number
- C Find LCM & HCF
- C Find LCM of n Numbers
- C Find HCF of n Numbers
- C Find Arithmetic Mean
- C Find Average, Percentage
- C Find Student Grade
- C Print Table of Number
- C Print Prime Numbers
- C Find Discount Purchase
- C Calculate Parcel Charge
- C Calculate Wage of Labor
- C Print Phone Bill
- C Conversion programs
- C Decimal to Binary
- C Decimal to Octal
- C Decimal to Hexadecimal
- C Binary to Decimal
- C Binary to Octal
- C Binary to Hexadecimal
- C Octal to Decimal
- C Octal to Binary
- C Octal to Hexadecimal
- C Hexadecimal to Decimal
- C Hexadecimal to Binary
- C Hexadecimal to Octal
- C Pattern Programs
- C Pattern Printing Programs
- C Print Diamond Pattern
- C Print Floyd's Triangle
- C Print Pascal's Triangle
- C Array Programs
- C 1D Array Programs
- C Linear Search
- C Binary Search
- C Largest Element in Array
- C Smallest Element in Array
- C Second Largest/Smallest
- C Count Even Odd
- C Array Element at Even
- C Array Element at Odd
- C Print Even Array Elements
- C Print Odd Array Elements
- C Sum/Product of Even/Odd
- C Reverse an Array
- C Insert Element in Array
- C Delete Element from Array
- C Merge Two Arrays
- C Bubble Sort
- C Selection Sort
- C Insertion Sort
- C Print Common Elements
- C 2D Array Programs
- C Add Two Matrices
- C Subtract Two Matrices
- C Transpose a Matrix
- C Multiply Two Matrices
- C Sum All Matrix Elements
- C Largest Element in Matrix
- C Print Row Column Total
- C 3D Array Programs
- C String Programs
- C Print String
- C Find Length of String
- C Compare Two String
- C Copy a String
- C Concatenate String
- C Reverse a String
- C Count Vowels Consonants
- C Replace Vowel in String
- C Delete Vowels from String
- C Delete Word from String
- C Frequency of Character
- C Count Word in String
- C Remove Spaces from String
- C Sort a String
- C Sort String in Alphabetical
- C Sort Words in Ascending
- C Sort Words in Descending
- C Uppercase to Lowercase
- C Lowercase to Uppercase
- C Swap Two Strings
- C Check Anagram or Not
- C Check Palindrome String
- C Print Number in Words
- C Print Successive Character
- C Character without Space
- C Remove Extra Spaces
- C File Programs
- C Read a File
- C Write Content to File
- C Read & Display File
- C Copy a File
- C Merge Two Files
- C Reverse File
- C Count All Character in File
- C List Files in Directory
- C Encrypt & Decrypt a File
- C Delete a File
- C Misc Programs
- Generate Random Numbers
- C Print Date Time
- C Print Message with Time
- C Get IP Address
- C Print Smiling face
- C Pass Array to Function
- Add Two Numbers using Pointer
- C Address of Variable
- C Shutdown Computer
- C Programming Tutorial
- C Tutorial
- C Programming Library
- C Standard Library
- C Programming Test
- C Programming Test
- Give Online Test
- All Test List

# C Program to Find Transpose of a Matrix

In this article, you will learn and get code on finding the transpose of given matrix by user at run-time using a C program. But before starting the program, let's first understand, how to find the transpose of any matrix.

### How to Find Transpose of a Matrix ?

Transpose of a matrix can be calculated by switching the rows with columns or columns with rows. For example, if a
given matrix say Matrix **A** is:

1 1 1 2 2 2 3 3 3

Then, its transpose say **A ^{T}** will be:

1 2 3 1 2 3 1 2 3

As you can see that all the three rows gets switched to three columns in a way that:

- Element at 0
^{th}row and 0^{th}column of original matrix, goes to 0^{th}row and 0^{th}column of A^{T} - Element at 0
^{th}row and 1^{st}column of original matrix, goes to 1^{st}row and 0^{th}column of A^{T} - Element at 0
^{th}row and 2^{nd}column of original matrix, goes to 2^{nd}row and 0^{th}column of A^{T} - Element at 1
^{st}row and 0^{th}column of original matrix, goes to 0^{th}row and 1^{st}column of A^{T} - Element at 1
^{st}row and 1^{st}column of original matrix, goes to 1^{st}row and 1^{st}column of A^{T} - Element at 1
^{st}row and 2^{nd}column of original matrix, goes to 2^{nd}row and 1^{st}column of A^{T} - In similar way, the next three elements of original matrix goes to matrix
**A**^{T}

## Find Transpose of a Matrix in C

This program is created for 3*3 matrix. That is a matrix with 3 rows and 3 columns. Therefore, this program asks from user to enter 9 elements for the matrix, and then will find its transpose:

#include<stdio.h> #include<conio.h> int main() { int mat[3][3], i, j, matTrans[3][3]; printf("Enter 3*3 Matrix Elements: "); for(i=0; i<3; i++) { for(j=0; j<3; j++) scanf("%d", &mat[i][j]); } // Transposing the Matrix... for(i=0; i<3; i++) { for(j=0; j<3; j++) matTrans[j][i] = mat[i][j]; } printf("\nTranspose of given Matrix is:\n"); for(i=0; i<3; i++) { for(j=0; j<3; j++) printf("%d ", matTrans[i][j]); printf("\n"); } getch(); return 0; }

This program was build and run under *Code::Blocks* IDE. Here is its sample run:

Now enter any 9 elements for the matrix and press `ENTER`

key to see the following output:

The following block of code is responsible for transposing the matrix:

for(i=0; i<3; i++) { for(j=0; j<3; j++) matTrans[j][i] = mat[i][j]; }

If you want to learn about for loop in detail, then refer to the separate tutorial
on it. But for now, the above code block executes in a way that, the initialization part say **i=0** executes
only once at start of the loop, and every time while entering the block of code inside the loop, its condition
(second statement of loop) must be checked. If the condition evaluates to be true, then only the program flow goes
inside the body of loop and executes all the statements

Let's suppose, user enters 9 elements as **1, 1, 1, 2, 2, 2, 3, 3, 3**. Therefore **mat[0][0]=1,
mat[0][1]=1, mat[0][2]=1, mat[1][0]=2, mat[1][1]=2** and so on. Because, *i* starts from 0 and executes until
its value becomes 3, therefore loop executes total of 3 times. That is, both the loop executes 3 times in a way that:

- At first execution of outer
*for loop*, inner*for loop*executes three times. Therefore- At first execution,
`matTrans[j][i] = mat[i][j]`

or`matTrans[0][0] = mat[0][0]`

or**matTrans[0][0] = 1** - At second execution,
`matTrans[j][i] = mat[i][j]`

or`matTrans[1][0] = mat[0][1]`

or**matTrans[1][0] = 1** - At third execution,
`matTrans[j][i] = mat[i][j]`

or`matTrans[2][0] = mat[0][2]`

or**matTrans[2][0] = 1**

- At first execution,
- At second execution of outer
*for loop*, inner*for loop*again executes three times. Therefore- At first execution,
`matTrans[j][i] = mat[i][j]`

or`matTrans[0][1] = mat[1][0]`

or**matTrans[0][1] = 2** - At second execution,
`matTrans[j][i] = mat[i][j]`

or`matTrans[1][1] = mat[1][1]`

or**matTrans[1][1] = 2** - At third execution,
`matTrans[j][i] = mat[i][j]`

or`matTrans[2][1] = mat[1][2]`

or**matTrans[2][1] = 2**

- At first execution,
- At third execution of outer
*for loop*, inner*for loop*again executes three times. Therefore- At first execution,
`matTrans[j][i] = mat[i][j]`

or`matTrans[0][2] = mat[2][0]`

or**matTrans[0][2] = 3** - At second execution,
`matTrans[j][i] = mat[i][j]`

or`matTrans[1][2] = mat[2][1]`

or**matTrans[1][2] = 3** - At third execution,
`matTrans[j][i] = mat[i][j]`

or`matTrans[2][2] = mat[2][2]`

or**matTrans[2][2] = 3**

- At first execution,

In this way, we will have a matrix named **matTrans[][]** that has its value as:

- matTrans[0][0] = 1
- matTrans[0][1] = 2
- matTrans[0][2] = 3
- matTrans[1][0] = 1
- matTrans[1][1] = 2
- matTrans[1][2] = 2
- matTrans[2][0] = 1
- matTrans[2][1] = 2
- matTrans[2][2] = 3

which is the transpose of given matrix **A**.

### Allow User to Define Matrix Dimension

This program allows the user to define the dimension of original matrix. That is, user has to enter the size of row and column for the matrix. And also enter the matrix element of given size. Then will calculate and print the transpose:

#include<stdio.h> #include<conio.h> int main() { int mat[10][10], rowSize, colSize, i, j, matTrans[10][10]; printf("Enter the Size of Row and Column: "); scanf("%d%d", &rowSize, &colSize); printf("\nEnter %d*%d Matrix Elements: ", rowSize, colSize); for(i=0; i<rowSize; i++) { for(j=0; j<colSize; j++) scanf("%d", &mat[i][j]); } printf("\nOriginal Matrix is:\n"); for(i=0; i<rowSize; i++) { for(j=0; j<colSize; j++) printf("%d ", mat[i][j]); printf("\n"); } // Transposing the Matrix..... for(i=0; i<rowSize; i++) { for(j=0; j<colSize; j++) matTrans[j][i] = mat[i][j]; } printf("\nTranspose of Matrix is:\n"); for(i=0; i<colSize; i++) { for(j=0; j<rowSize; j++) printf("%d ", matTrans[i][j]); printf("\n"); } getch(); return 0; }

Here is it sample run:

#### Same Program in Other Languages

« Previous Program Next Program »

Like/Share Us on Facebook 😋