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A = matrix([[3, 4], [6, 8]])
B = matrix([[4, 8], [5, 1]])
A * B
[32 28] [64 56] 
B.inverse()
[-1/36 2/9] [ 5/36 -1/9] 
A.inverse()
Error in lines 1-1 Traceback (most recent call last): File "/projects/sage/sage-6.9/local/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 905, in execute exec compile(block+'\n', '', 'single') in namespace, locals File "", line 1, in <module> File "sage/matrix/matrix2.pyx", line 8499, in sage.matrix.matrix2.Matrix.inverse (/projects/sage/sage-6.9/src/build/cythonized/sage/matrix/matrix2.c:63574) return self.__invert__() File "sage/matrix/matrix_integer_dense.pyx", line 3851, in sage.matrix.matrix_integer_dense.Matrix_integer_dense.__invert__ (/projects/sage/sage-6.9/src/build/cythonized/sage/matrix/matrix_integer_dense.c:33251) A,d = self._invert_flint() File "sage/matrix/matrix_integer_dense.pyx", line 3812, in sage.matrix.matrix_integer_dense.Matrix_integer_dense._invert_flint (/projects/sage/sage-6.9/src/build/cythonized/sage/matrix/matrix_integer_dense.c:33085) raise ZeroDivisionError('Matrix is singular') ZeroDivisionError: Matrix is singular 
A = matrix([[3, 4], [6, 8]])
A.det()
0 
B = matrix([[4, 8], [5, 1]])
B.det()
-36 
C = matrix([[2, 4, 3], [1, 1, 3]])
T = matrix([[2, 0], [0, 4]])
T * C
[ 4 8 6] [ 4 4 12] 
C = matrix([[2, 4, 3], [1, 1, 3]])
R = matrix([[0, -1], [-1, 0]])
R * C
[-1 -1 -3] [-2 -4 -3] 
p1 = vector([2, 1])
p2 = vector([4, 1])
p3 = vector([3, 3])
mypoints = list([p1, p2, p3])
P = polygon(mypoints, color = "red")
show(P)

p1 = vector([2, 1])
p2 = vector([4, 1])
p3 = vector([3, 3])
mypoints = list([p1, p2, p3])
P = polygon(mypoints, color = "red")
p = plot(P)
t1 = vector([-1, -2])
t2 = vector([-1, -4])
t3 = vector([-3, -3])
mytrans = list([t1, t2, t3])
S = polygon(mytrans)
p += plot(S)
p.set_aspect_ratio(1)
show(p)