A=identity_matrix(3)*(-1)
A.determinant()
(A/2).determinant()
(-A).determinant()
(A**2).determinant()
A.inverse().determinant()

/* above code has no print for calculated answers */

print " let us take a 3x3 matrix having det= -1 as"
A = matrix([[0,1,0],[1,0,0],[0,0,1]])
print A
print ""
print "determinant of A =",
x = det(A)
print x
x = det(0.5*A)
print "determinant of 0.5*A =",
print x
x = det(-A)
print "determinant of -A =",
print x
x = det(A*A)
print "determinant of A*A =",
print x
x =  det(A.inverse())
print "determinant of A^-1 =",
print x