Cramer\'s Rule on Python Write a Python code for a program indicated below. Use

Question

Cramer's Rule on Python

Write a Python code for a program indicated below. Use variables, loops, if statements and own functions. Do no use any of the functions from python modules but math and copy. Add comments with explanation of each line.

Write a Python program that mcets the following requirements: a) The program must have a function named det2(A). This function has one argument named A. A is b) The program has a function named solve2(A, b). This function has two arguments named A and required to be a 2 by 2 matrix. This function must calculate and return the determinant of A. b. A is required to be a 2 by 2 square matrix, and b is required to be a 2-term vector (list). This function must calculate and return the solution to the set of equations defined by A x b. This function docs NOT print anything. This function MUST use Cramer's Rule as the solution method. This function must use (call) det2D to calculate the necessary determinants as part of Cramer's Rule. If you need more information on Cramer's Rule, you may google it c) The main program will creates the data (A, bl, A2, b2) shown below. It will then pass (A1, BI) them to the solve2 function and print the answer. Then, it will pass (A2, b2) to the solve2 function and print the answer. Huge hint: since this proyram only works for 2 equation and 2 unknown problems, this entire program can be written without any IF's or LOOPS 1 -3 solve AIx bl for r 2 -4 2-2 5 -4 A2 b2 solve A2 b2 for r 3

Explanation / Answer

import copy
def genmatrix():
#creates matrix of two rows and columns
col,row = 2, 2;
A1 = [[0 for c in range(col)] for r in range(row)]
A1[0][0]=1
A1[0][1]=-3
A1[1][0]=2
A1[1][1]=-4
  
b1=[-1 ,1]
  
A2 = [[0 for c in range(col)] for r in range(row)]
A2[0][0]=5
A2[0][1]=-2
A2[1][0]=5
A2[1][1]=-4
  
b2=[2 ,-3]
return A1,A2,b1,b2

def det2(A):
#calculates determinant by (a11*a22)-(a12*a21)
return (A[0][0]*A[1][1])- (A[0][1]*A[1][0])

def slove2(A,b):
#implements cramers rule
detA=det2(A)
x_mat = copy.deepcopy(A)
#implements cramers rule by changing first column with b
x_mat[0][0]=b[0]
x_mat[1][0]=b[1]
detX=det2(x_mat)
y_mat = copy.deepcopy(A)
#implements cramers rule by changing second column with b
y_mat[0][1]=b[0]
y_mat[1][1]=b[1]
detY=det2(y_mat)
return detX/detA , detY/detA

A1,A2,b1,b2=genmatrix()
print("the value of X and Y for ist equation is :",slove2(A1,b1))
print("the value of X and Y for 2nd equation is :",slove2(A2,b2))

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