Math 206 Graded Problems/Proofs #3 Due Monday February 11

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Follow the same instructions you've been following for the graded proofs. Use a checklist for yourself, but you need not turn it in.

• Section 1.4 p47 Problem 17. Let A and B be square matrices such that AB=0. Show that if A is invertible then B = 0.
  
  
  
  
  
  
  
  
  
  
• Section 1.4 p47 Problem 21. A square matrix A is called symmetric if A^T = A and skew-symmetric if A^T = -A. Show that if B is a square matrix then
  (a) BB^T and B+B^T are symmetric
  (b) B-B^T is skew-symmetric.
  
  
  
  
  

• Alexia Sontag, Mathematics
• Wellesley College
• Date Created: January 4, 2001
• Last Modified: February 4, 2002
• Expires: June 30, 2002