In this tutorial you will learn about the Python Program to Multiply Two Matrices and its application with practical example.
In this tutorial, we will learn to create a Python Program to Multiply Two Matrices 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.
Matrix Multiplication ?
A Matrix is a table consist of numbers.Let take an example how of matrix multiplication takes place.If we want to multiply 2 in our 2*2 matrix then how it will be done as shown in image below.
As we cane see in the image above that multiplying a matrix by a single number (2) is shown in image above Means 2 is multiply with each and every element.
| 2×1=2 | 2×2=4 |
| 2×3=6 | 2×4=8 |
Python Program to Multiply Two Matrices
In this program below we create a program to multiply two Matrices using nested for loop . We would first declared and initialized the required variables. Next, we would prompt user to input the values and later we will multiply two matrices.
|
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 |
# program to multiply two matrices. # Declaring two matrix A and B in our program A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]] B = [[1, 2, 3], [4, 5, 6], [7, 8, 9]] # Declaring an empty matrix to store result result = [[0, 0, 0], [0, 0, 0], [0, 0, 0]] # Using nested for loop for A & B matrix for i in range(len(A)): for j in range(len(B[0])): for k in range(len(B)): result[i][j] += A[i][k] * B[k][j] # Storing multiplication result in result # Printing multiplication result in the output print("The multiplication result of matrix A and B is: ") for r in result: print(r) |
Output
Matrix A and B:
Result:
In our program above we going to use nested “for” loops to iterate through each and every row’s and column’s. within the loop we “Multiply” the corresponding elements of the two matrices and store it in variable “result”.
In the above program, we have first declared and initialized a set variables required in the program.
- A = it will hold first matrix.
- B= it will hold second matrix.
- result=it will hold added values of matrices.
- i,j and k = For iteration.
Here we will multiply two matrices of 3*3 using nested for loops to iterate through each row and column. We multiply the corresponding elements values of two matrices and store it in the result variable.At last we will display the value stored in variable “Result” after Multiplying of two matrices .
In matrix multiplication of two matrices, the first row elements of matrix(A) are multiplied to the column elements of the second matrix (B). And this process followed till we reach all the element of rows.
And finally we get resultant Output we required.
