Math 247F - Homework 1, Due on Tuesday, September 19

1. Section 5.1: #3
2. Section 6.1: # 1, 3, 4b, 8,  11, 15,  16, 19, 27
3. Section  6.2: #1, 2(b,d,,g,i)



Extra credit problem (to be written up and turned in separately from the rest of the homework):
Show that if A is a real nxn matrix then its complex eigenvalues and eigenvectors come in conjugate pairs. That is if  c is an eigenvalue then so is c and similarly if v is an eigenvector then so is v.