In this tutorial you will learn about the Python Program to Transpose a Matrix and its application with practical example.
In this tutorial, we will learn to create a Python Program to Transpose a Matrix using python Programming.
Prerequisites
Before starting with this tutorial we assume that you are best aware of the following Python programming topics:
- Python Operator.
- Basic Input and Output
- Basic Python programming.
- Python Data type.
- Python in-built Functions.
- Loops in Python.
- List in Python.
Transpose of a Matrix.
The transpose of a matrix is simply a overturn version of Original matrix. We can transpose a matrix by transpose its rows with its columns.
Original Matrix
Transpose Matrix
In Mathematics in linear algebra,Transpose of a matrix is actually an operator that flips a matrix above its diagonal by switching the row and column.
Python Program to Transpose a Matrix.
In this program we create a program that will Transpose a Matrix using nested for loop . We would first declared and initialized the required variables. Next, we would prompt user to input the values later we will Transpose the matrix.
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# Program to transpose a matrix using a nested loop #declaring matrix value initially A = [[1,2], [3 ,4], [5,6]] # setting default value. Transpose = [[0,0,0], [0,0,0]] # traverse through rows for i in range(len(A)): # traverse through columns for j in range(len(A[0])): Transpose[j][i] = A[i][j] # printing Transpose matrix for T in Transpose: print(T) |
Output
Before Transpose.
After Transpose.
In our program, we have using nested “For” loops for traverse through each row and column. And after traversing at each point we replace the values of ” A[i][j]” to Transpose[j][i].
In the above program, we have first declared and initialized a set variables required in the program.
- A = it will hold Original matrix
- Transpose= it will hold transpose matrix.
- t=it will show Transpose matrix.
Original Matrix.
set default value of Transpose to zero.
Now , we will Transpose the matrix is by exchanging the rows and columns. Transpose of a matrix is done by changing elements of rows to columns into columns to rows. Or we can say, transpose of T[][] is obtained by changing A[i][j] to A[j][i].
Simply If we changes the rows value of a matrix with the value of column of the same matrix, called Transpose of a matrix.
Original Matrix.
Transpose Matrix.
So here we learnt to transpose a matrix using nested for loop.
