Book
Linear Algebra
Author
Gilbert Strang
Edition
def prod(l):
a=1
i=0
while i<range(len(l)):
a=a*l[i]
i=i+1
return a
def chck_sum(A):
l=A.eigenvalues()
tr=A.trace()
if sum(l)==tr:
print "sum is equal"
else:
print "not equal sum"
def chck_prod(A):
l=A.eigenvalues()
a=det(A)
b=prod(l)
if a==b:
print "product equal"
else:
print "product not equal"
A=matrix([[3,4,2],[0,1,2],[0,0,0]])
chck_sum(A)
out:sum is equal
chck_prod(A)
out:product not equal
B=matrix([[0,0,2],[0,2,0],[2,0,0]])
chck_sum(B)
out:sum is equal
chck_prod(B)
out:product not equal
Solution by:
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