Inverse of Matrix :
After calculating determinant, adjoint from the matrix as in the previous tutorials
a) Find determinant of A (A)
b) Find adjoint of A (adj A)
we will be calculating the inverse using determinant and adjoint
c) Calculate the inverse using the formulae
A^{1} = adjoint A / A
An Example:
For an example we will find the inverse for the following matrix
a) Finding determinant of A:
A = 1x(1x43x2)  3x(1x42x2) + 1x(1x32x1)
A = 1x(46)  3x(44) + 1x(32) = 2+0+1
A = 1
b) Finding Minors of A:
M_{11} = 1x43x2 = 46 = 2
M_{12} = 1x42x2 = 44 = 0
M_{13} = 1x32x1 = 32 = 1
M_{21} = 3x43x1 = 123 = 9
M_{22} = 1x42x1 = 42 = 2
M_{23} = 1x32x3 = 36 = 3
M_{31} = 3x21x1 = 61 = 5
M_{32} = 1x21x1 = 21 = 1
M_{33} = 1x11x3 = 13 = 2
c) Forming Minors Matrix of A:
d) Forming Cofactor Matrix of A:
Matrix of cofactors 
2 x 1  0 x 1  1 x 1 
9 x 1  2 x 1  3 x 1 
5 x 1  1 x 1  2 x 1 
 = 

e) Forming Adjoint A:
f) Finding the Inverse Matrix of A
Inverse of Matrix (A^{1}) 
A^{1} = ajd A / A = 
1/1 
