Linear Algebra the characteristic polynomial Please do 8Solu

Solution

Given that A and B have the same characteristic polynomial.

So eigen values of A and B would be the same

i.e. if eigen values of A are c1 , c2, c3....cn

then B also have the same eigen values.

Hence (c-c1) (c-c2)...(c-cn) would be the characteristic polynomials for both the matrices A and B.

Hence proved