07-401 Solutions

2007-04-18T14:05:33Z

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07-401/Homework Assignment 9

2007-04-18T14:03:20Z

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===Reading===
Read chapter 32 of Gallian's book three times:
* First time as if you were reading a novel - quickly and without too much attention to detail, just to learn what the main keywords and concepts and goals are.
* Second time like you were studying for an exam on the subject - slowly and not skipping anything, verifying every little detail.
* And then a third time, again at a quicker pace, to remind yourself of the bigger picture all those little details are there to paint.

===Doing===
Solve problems 22#, 23, 24#, 25, 26# and 27# in Chapter 32 of Gallian's book but submit only the solutions of the problems marked with a sharp (#).

===Due Date===
This assignment is due in class on Wednesday April 4, 2007.

[[07-401 Solutions|Solutions]]

===Just for Fun===

# Explain how the group <math>O(3</math>) of rigid rotations of <math>{\mathbb R}^3</math> can be identified with the subgroup <math>\{A\in M_{3\times 3}({\mathbb R}):\, A^TA=I\}</math> of the group of invertible <math>3\times 3</math> matrices.
# Prove that <math>O(3)</math> is not solvable (though note that the similarly-defined group <math>O(2)</math> is solvable).

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07-401 Solutions

07-401/Homework Assignment 9