Python Coding Challange - Question With Answer(01060125)

 

Step-by-Step Explanation:

1. Importing NumPy:

   
   import numpy as np

   • This imports the NumPy library, which provides support for working with arrays and performing mathematical operations like dot products.

2. Creating Arrays:

   a = np.array([1, 2, 3, 4])
   b = np.array([4, 3, 2, 1])

   • Two 1D NumPy arrays a and b are created:
     a = [1, 2, 3, 4]
     b = [4, 3, 2, 1]

3. Dot Product Calculation:

   
   np.dot(a, b)

   • The dot product of two 1D arrays is calculated as:

     $$\text{dot product} = a[0] \cdot b[0] + a[1] \cdot b[1] + a[2] \cdot b[2] + a[3] \cdot b[3]$$

   • Substituting the values of a and b:

     $$\text{dot product} = (1 \cdot 4) + (2 \cdot 3) + (3 \cdot 2) + (4 \cdot 1)$$

   • Perform the calculations:

     $$\text{dot product} = 4 + 6 + 6 + 4 = 20$$

4. Printing the Result:

   
   print(np.dot(a, b))

   • The result of the dot product, 20, is printed to the console.

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Final Output:

20

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Key Points:

• The dot product of two vectors is a scalar value that represents the sum of the products of corresponding elements.
• In NumPy, np.dot() computes the dot product of two 1D arrays, 2D matrices, or a combination of arrays and matrices.