Comp 150-07: Intelligent Robotics

Homework 1 - due by 6pm, Tuesday Jan 27, 2009

Individual Component -- 10%

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.

Come up with an orthogonal 3x3 matrix, call it A. You may not use the identity matrix.
Calculate its transpose A^T.
Show that A*A^T = I.

Hand in your answers at the beginning of class on Tuesday Jan 27, or using the provide system by 6pm on Tuesday Jan 27.

Team Component -- 90%

Rube Goldberg Machine -- Lab 1

Each team member must be present in class on Tuesday Jan 27 at 6pm for machine demo in order to get a grade.

Remember to hand in a hard copy of the team lab report showing:

Team names
Checkboxes next to
- size (max. 3'x4'x5')
- no commercial source of electric potential
- only 2 human interventions
Photograph of your machine, labelled with energy transfers
List of energy transfers
Short descriptions of each energy tansfer and materials used

A good way to write the lab report is to make it a webpage (you must still print out one copy to hand in during class). We can then link the webpages to the class for general show-off purposes.