Hi
W10 , SageMath 8.4, Web Browser Edge or Chrome I report this problem because even if it is a code error on my part(QQ,9,9, is misplaced) it is not normal that it crash my PC this little simple program made freeze Chrome (same problem with Edge), and then crashed my PC.
forget()
var('pi_1 pi_2 pi_3 pi_4 pi_5 pi_6 pi_7 pi_8 pi_9')
assume(pi_7 > 0)
assume(pi_8 > 0)
# good
m = matrix(QQ,9,9,[ \
# when I uncomment the line below, then the browser(Edge or Chrome begin to freeze,
# and after a while my W10 PC crash !!)
# BAD !! Line with ERROR !!!
#m = matrix([ QQ,9,9, \
[1/3 , 5/9 , 0 , 0 , 1/9 , 0 , 0 , 0 , 0 ], \
[ 0 , 1/3 , 0 , 0 , 0 , 0 , 0 , 0 , 2/3 ], \
[ 0 , 0 , 1/3 , 1/3 , 0 , 0 , 1/3 , 0 , 0 ], \
[ 0 , 0 , 1/2 , 1/4 , 0 , 0 , 0 , 1/4 , 0 ], \
[ 0 , 0 , 0 , 0 , 3/4 , 1/4 , 0 , 0 , 0 ], \
[ 0 , 0 , 0 , 0 , 2/3 , 1/3 , 0 , 0 , 0 ], \
[ 0 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 ], \
[ 0 , 0 , 0 , 0 , 0 , 0 , 0 , 1 , 0 ], \
[ 0 , 0 , 2/3 , 0 , 0 , 0 , 0 , 0 , 1/3 ] \
])
v=vector([pi_1,pi_2,pi_3,pi_4,pi_5,pi_6,pi_7,pi_8,pi_9])
eqT=[]
for i in range(0,len(v)):
eqT.append(m[i]*v==v[i])
eqT.append(sum(v)==1)
#eqT.append(pi_7==1)
#eqT.append(pi_8==1)
show(eqT)
S=solve(eqT,pi_1,pi_2,pi_3,pi_4,pi_5,pi_6,pi_7,pi_8,pi_9)
show(S)
