Question

Write a program which reads the matrix A (2x2 matrix taking the first two column vectors from the input file) and the vector b (the third column vector) and solve for x in Ax=b for general A.

If there is a unique solution, your output should be a 2x2 matrix with two lines and two numbers per line. The output should contain numbers with up to four significant digits. If the system is unsolvable or inconsistent, then your output should be a single line printing "System inconsistent". If the system is underdetermined, your output should be a single line printing "System underdetermined".

Input format (2x3 matrix):

n11 n12 n13

n21 n22 n23

In python please

Answer 1

ANSWER:

• I have provided the properly commented  and indented code so you can easily copy the code as well as check for correct indentation.
• I have provided the output image of the code so you can easily cross-check for the correct output of the code.
• Have a nice and healthy day!!

CODE

# import important module
import numpy as np

# reading input file "matrix.txt"
inputFile = open("matrix.txt")

# defining empty matrix A and b
A = []
b = []

# looping through each line and converting input to matrix
for line in inputFile:
    # spliting line and converting each value to float
    row = [int(c) for c in line.split()]
    # first two values to A
    A.append(row[:2])
    # and last to b
    b.append(row[2])
    
# checking if size of A and b no equal
m,n = len(A),len(A[0])
sizeB = len(b)

if (m!=n) or (n!=sizeB):
    print("System underdetermined")
else:
    # otherwise, solving equation using np.linalg.solve
    # catching error if singular matrix
    try:
        # using np.linalg.solve to solve equaion
        X2 = np.linalg.solve(A,b)
        # displaying result, diagonal matrix of X2 for 2x2 matrix display
        print("{:.4f} {:.4f}\n{:.4f} {:.4f}".format(*np.diag(X2).flatten()))
    except np.linalg.LinAlgError as err:
        if 'Singular matrix' in str(err):
            print('System inconsistent')
        else:
            # otherwise
            raise

INPUT IMAGE (matrix.txt)

OUTPUT IMAGE