P=matrix(4,8,[0,1,1,3,7,1,2,1,1,0,2,-2,-7,-4,3,2,1,-1,0,2,5,4,0,0,1,1,2,0,4,3,1,1])
a=P.rref()
print a
b=matrix(4,4,[17/2,19/2,-7/2,-3/2,29/4,25/4,-11/4,-5/4,-47/8,-51/8,29/8,15/8,15/8,3/8,3/8,1/8])
print b
c=b.inverse()
print c
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[ 1 0 0 0 17/2 19/2 -7/2 -3/2]
[ 0 1 0 0 29/4 25/4 -11/4 -5/4]
[ 0 0 1 0 -47/8 -51/8 29/8 15/8]
[ 0 0 0 1 15/8 3/8 3/8 1/8]
[ 17/2 19/2 -7/2 -3/2]
[ 29/4 25/4 -11/4 -5/4]
[-47/8 -51/8 29/8 15/8]
[ 15/8 3/8 3/8 1/8]
[ -1/4 1/2 1/8 1/8]
[ 9/16 -7/8 -5/32 11/32]
[ 7/8 -13/4 -27/16 53/16]
[ -9/16 39/8 117/32 -155/32]
[ 1 0 0 0 17/2 19/2 -7/2 -3/2]
[ 0 1 0 0 29/4 25/4 -11/4 -5/4]
[ 0 0 1 0 -47/8 -51/8 29/8 15/8]
[ 0 0 0 1 15/8 3/8 3/8 1/8]
[ 17/2 19/2 -7/2 -3/2]
[ 29/4 25/4 -11/4 -5/4]
[-47/8 -51/8 29/8 15/8]
[ 15/8 3/8 3/8 1/8]
[ -1/4 1/2 1/8 1/8]
[ 9/16 -7/8 -5/32 11/32]
[ 7/8 -13/4 -27/16 53/16]
[ -9/16 39/8 117/32 -155/32]
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