Multiplication of matrix using numpy python tutorial

certainly! in this tutorial, we will learn how to perform matrix multiplication using numpy, a powerful library for numerical computing in python. matrix multiplication is a fundamental operation in mathematics, particularly in linear algebra.

### prerequisites
before we begin, make sure you have numpy installed. you can install it using pip if you haven't done so already:

### matrix multiplication basics
matrix multiplication is defined as follows:
- if you have two matrices \( a \) of size \( m \times n \) (m rows and n columns) and \( b \) of size \( n \times p \), the result of the multiplication \( c = a \times b \) will be a new matrix \( c \) of size \( m \times p \).
- the element \( c_{ij} \) in matrix \( c \) is calculated by taking the dot product of the \( i^{th} \) row of matrix \( a \) and the \( j^{th} \) column of matrix \( b \).

### using numpy for matrix multiplication
numpy provides several methods to perform matrix multiplication, including the `dot()` function and the `@` operator.

#### example code
here’s a step-by-step example of how to multiply matrices using numpy.

### explanation of the code
1. **import numpy**: we start by importing the numpy library.
2. **define matrices**: we define two matrices \( a \) and \( b \):
- matrix \( a \) is a \( 2 \times 3 \) matrix.
- matrix \( b \) is a \( 3 \times 2 \) matrix.
3. **matrix multiplication**:
- we also calculate the product using the `@` operator and store it in `c_at`.
4. **print results**: finally, we print the original matrices and the result of the multiplication.

### output
when you run the code, the output will look like this:

### conclusion

feel free to expl ...

#python matrix library
#python matrix multiplication
#python matrix indexing
#python matrix size
#python matrix transpose

python matrix library
python matrix multiplication
python matrix indexing
python matrix size
python matrix transpose
python matrix exponential
python matrix
python matrix operations
python matrix multiplication operator
python matrix inverse
python multiplication symbol
python multiplication table
python multiplication operator
python multiplication sign
python multiplication example
python multiplication function
python multiplication of list
python multiplication