Assignment For Section 1.7

Readings Questions:

You should read the section before attempting any reading questions or problems. Remember that you are responsible for all definitions and examples. Also remember to keep the answers to the reading questions on a separate piece of paper; these will be randomly collected from time to time.

1)   The text uses Theorem 1.7.1 part (2) to prove that  a x b = 0  when  a  and  b  are linearly dependent.  Prove this directly using the definition of linearly dependent and the definition of  a x b.

2)   Verify equation (1.7.6).

3)    Consider problem #2 on page 65.
        a)    Do part a) and then discuss when a x b = b x a.
        b)    Do part b).
 

Problems:

page 65     1, 5, 8, 10 (Hint: Use #8), 11, 16a,c,e,g,  17, 19, 28, 31, 34, 37