Context
Homework:
25, 26, 27, 29, 32, 33, 34, and 35 from section 6.5
3, 5, 7, 10, and 11 from section 8.1 (last two count as challenge problems)
https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset9_s10_soln.pdf