1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Anyone can prove this ?

  1. Jan 24, 2010 #1
    1. show that if a square matrix A satisfies A^3+4A^2 -2A+7i=0 then so does A^T

    i is the identity matrix






    3. The attempt at a solution

    I tried to multiply the equation by A^T but all in vain
     
  2. jcsd
  3. Jan 24, 2010 #2
    Use:
    [tex](A+B)^T = A^T + B^T \qquad (AB)^T = A^TB^T \qquad (cA)^T = cA^T[/tex]
    to compute the transpose by using:
    [tex]0 = 0^T = (A^3 + 4A^2 - 2A + 7I)^T[/tex]
     
  4. Jan 24, 2010 #3
    thanks
    this is useful

    problem solved:biggrin:
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook