Homework 2
16-311 Introduction to Robotics
Prof. Howie Choset

• (10%) Individual:
  An orthogonal matrix is one whose inverse is equal to its transpose. So, if A is an orthogonal matrix and A^T its transpose, then A * A^T is the identity matrix.

  Do the following:

  • Come up with an orthogonal matrix A (you may not use the identity matrix)
  • Calculate it's transpose A^T
  • Use your program from last week to show A*A^T is the identity matrix.
  
  
  
• (90%) Group:
  Lab 1 (Rube Goldberg Machine)

  Remember to create a URL and hand in a hard copy that

  • Depicts your Group's name and members' names.
  • Contains pictures of your Rube Goldberg Machine.
  • Lists the energy tranfers.

Turn in:

Email Somchaya Liemhetcharat:
• The output of the program run for part 1 (showing the input matrices and the result).
• The URL for part 2 (webpage of the Rube Goldberg lab).

(If you submitted a hard copy at the beginning of class on Wednesday, 1/21, then you only need to email the URL.)