#Week 4 Homework Matrix Inverses
#CB2240 S01
#Tse Tsz Wong
#57153200

matrix=[]
matrix=input('Enter a 2 by 2 matrix using the expression [[a,b],[c,d]]: ')
a=float(matrix[2])
b=float(matrix[4])
c=float(matrix[8])
d=float(matrix[10])
det=((a*d)-(b*c))
inv_a=1/det
inv_b=1/det
inv_c=1/det
inv_d=1/det
inverse=[[d,-b],[-c,a]]
print('The inverse of the matrix is:', inverse,'.\n')