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: Find matrixes B and C?

  1. Mar 11, 2012 #1
    1. The problem statement, all variables and given/known data

    A matrix B is symmetric if B=transpose B.

    A matrix C is skew-symmetric if C=−transpose C.

    Let A be the matrix given by


    Determine any symmetric matrix B and any skew-symmetric C such that A=B+C

    2. Relevant equations

    All given above. Don't know if I need any more.

    3. My attempt and issue

    I think two equations can be made A =B+C and A = BT - CT
    Don't know how to solve them
  2. jcsd
  3. Mar 11, 2012 #2
    It's been awhile since I've done matrices, but I'll give it a shot. I believe your two equations are correct, you just need to solve for B and C.

    Here is what I would do: Solve for either B or C in the first equation ( [itex]A = B + C[/itex] ), plug it into the second equation and use this property: [itex](A+B)^{T}=A^{T}+B^{T}[/itex]. See if that gets you anywhere!
  4. Mar 11, 2012 #3


    User Avatar
    Science Advisor
    Homework Helper

    A+A^T is symmetric, and A-A^T is antisymmetic, yes? Tell me why? Can you think of some way to combine them to get A?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook