Question

Solve the following set of equations using numpy’s linear algebra capabilities.

7? + 5? − 3? = 16

3? − 5? + 2? = −8

5? + 3? − 7? = 0

a) First, on paper, put the equation in the form ?x = ?.

b) Next, create arrays in Python for the ? and ? matrices.

c) Use numpy’s solve() function to solve for the ? matrix. Record the results on paper.

d) Finally, verify the solution by printing the matrix product ?? to show that it is indeed ?.

e) Just for fun, calculate ?−?, the inverse of ?. Show that the product ?−?? gives the same result for ?. Record the result on paper.

Answer 1

import numpy as np

from numpy import linalg as lin

a = np.array([[7,5,-3], [3,-5,2] , [5,3,-7]])

b = np.array([[16], [-8] , [0]])

x = lin.solve(a, b)

print("Answer: ", x)

print(" b = ", np.matmul(a, x))

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