hwk5.1 - dues tues 2/26

M
Complete the proof that the composition of two linear transformations is linear.  I left property ii for you to complete in lecture on F 2/15.  (I had intended to assign this on that hwk set, but it slipped my mind at the time).

2.3#30a-c,38,42,45,47
2.4#2,8 (no calculation - only conceptual arguments allowed)

W
Webwork5#1-7
Bretscher 2.4#49,67-69

F
Prove that if x is in the kernel of T, then kx is also in the kernel of T for all scalars k.

Connect the notion of the kernel of A to the notion of eigenvectors of A.

3.1#1,3,11,23(just the kernel part),25(just the kernel part),39a