1. Not finding help here? Sign up for a free 30min 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!

Linear Operators

  1. Jul 4, 2005 #1
    I'm not sure where to start with these proofs. Any suggestions getting started would be appreciated.

    1. Show that is A,B are linear operators on a complex vector space V, then their product (or composite) C := AB is also a linear operator on V.

    2. Prove the following commutator relationships for Linear Operators A,B,C:
    a. [A,B + C] = [A,B] + [A,C]
    b. [A,B] = -[B,A]
    c. [A,BC] = B[A,C] + [A,B]C
    d. [AB,C] = A[B,C] + [A,C]B
     
  2. jcsd
  3. Jul 4, 2005 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Definitions.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Linear Operators
  1. Operational amplifier (Replies: 2)

  2. Operational amplifier (Replies: 13)

Loading...