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a = [ [1,0,2,3,4],[1,1,0,2,1],[0,3,1,2,2] ]

def transposeMatrix(m):
    return map(list,zip(*m))

def getMatrixMinor(m,i,j):
    return [row[:j] + row[j+1:] for row in (m[:i]+m[i+1:])]

def getMatrixDeternminant(m):
    #base case for 2x2 matrix
    if len(m) == 2:
        return m[0][0]*m[1][1]-m[0][1]*m[1][0]

    determinant = 0
    for c in range(len(m)):
        determinant += ((-1)**c)*m[0][c]*getMatrixDeternminant(getMatrixMinor(m,0,c))
    return determinant
    
def getMatrixInverse(m):
    determinant = getMatrixDeternminant(m)
    #special case for 2x2 matrix:
    if len(m) == 2:
        return [[m[1][1]/determinant, -1*m[0][1]/determinant],
                [-1*m[1][0]/determinant, m[0][0]/determinant]]

    #find matrix of cofactors
    cofactors = []
    for r in range(len(m)):
        cofactorRow = []
        for c in range(len(m)):
            minor = getMatrixMinor(m,r,c)
            cofactorRow.append(((-1)**(r+c)) * getMatrixDeternminant(minor))
        cofactors.append(cofactorRow)
    cofactors = transposeMatrix(cofactors)
    for r in range(len(list(cofactors))):
        for c in range(len(list(cofactors))):
           cofactors[r][c] = cofactors[r][c]/determinant
           print(cofactors[r][c])
    return cofactors
            
            
def LoLto2D(Lol_in):
    
    for j in Lol_in:
        for f in j:
            print(str(f), end=' ')
        print("\n")
        
        
LoLto2D(a)
print(list(transposeMatrix(a)))
print(getMatrixMinor(a, 2, 1))
print(getMatrixDeternminant(a))
print(list(getMatrixInverse(a)))