Math 214 W10 Midterm 1
15 February 2010
Answer Key
Professors Michael Cap Khoury and Jeffrey Brown
Problem 1 (10 points):
Find the equation of the cubic equation (general form: f (x) = ax3 + bx2 + cx + d) whose graph
passes through the points ( 1, 2), (0,
Math 214 Final Exam
Paper Version Answers
by Michael Cap Khoury
Problem 1.
a) chA() = (1 )(2 )(3 ) = 3 + 62 11 + 6
b) 1, 2, 3
c) Each eigenspace is evidently one-dimensional. The 1-eigenspace is spanned by
2-eigenspace is spanned by
We can take S =
1
0