- #1
nhrock3
- 415
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A is a square matrix over F field
if k is the eigen value of A
prove that k is eigen value of A^t too
and has the same eigen vectors
??
eigen vectors are the solution space P(A)
is found by solving (A-kI)x=0
dim P(A)=dim n -dim (ro(a))
rho(a)=rho(a^t)
|A|=|A^t|
these are the laws i maneged to come up with to solve it
??
if k is the eigen value of A
prove that k is eigen value of A^t too
and has the same eigen vectors
??
eigen vectors are the solution space P(A)
is found by solving (A-kI)x=0
dim P(A)=dim n -dim (ro(a))
rho(a)=rho(a^t)
|A|=|A^t|
these are the laws i maneged to come up with to solve it
??
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