import numpy as np
# Defining the matrix
A = np.array([[1, 3, 2],
[4, 1, 3],
[2, 5, 2]])
det = np.linalg.det(A)
print(det)
# Output:
16.999999999999993 # e.i. det(A) = 17
Exercise 2: Complex numbers
This example is taken from an example exam in TMA4110 - Calculus 3, check out the exam and the solution for hand calculations (only in norwegain). This is task 4.
Comput the determinant
Solution: Complex Numbers
import numpy as np
# Defining the matrix
# Notice how we can define complex numbers in python by adding the letter "j"
# "j" is used to denote an imaginary unit instead of "i", because Python follows engineering,
# where "i" denotes the electric current as a function of time (especially electrial engineering)
A = np.array([[3, 1-1j, 1j, 4],
[3, 1, 1-2j, 4+7j],
[6j, 2+2j, -2, 3j],
[-3, -1+1j, 1, 3-4j]], dtype=complex)
det = np.linalg.det(A)
print(det)
# Output:
(-15-15j) # e.i. det(A) = -15-15i