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Programming in Python

Linear Algebra and Bitwise Operations

Explore how to perform key linear algebra operations using NumPy, including matrix multiplication, transpose, trace, inverse, and solving simultaneous equations. Understand how to apply bitwise operations to array elements, enhancing your Python programming skills with practical numerical methods.

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Linear algebra operations

Note the difference between the two multiplication operations shown below:

Python 3.8
import numpy as np
a1 = np.array([[10, 2],[5, 6]])
a2 = np.array([[1, 1],[2, 2]])
a3 = a1 * a2 # multiplies corresponding elements of a1 and a2
print(a3)
a3 = a1 @ a2 # performs matrix multiplication
print(a3)
a4 = a1.dot (a2) # performs matrix multiplication
print(a4)

The transpose of a matrix ...