MATH-205 Midterm: Bates MATH 205 111811buell205exam
Document Summary
Name: by writing my name i swear by the honor code. Read all of the following information before starting the exam: show all work, clearly and in order if you want to get full credit (matrices should be reduced into. Rref with calculator and you can just show the output). Find a basis for the following: (15 points) given a = , (5 pts) Row(a) (9 points) prove (verify in generality) that h = span{ ~v1, ~v2, . , ~vp} where each ~vi is in v is a. 2. subspace of v : (12 points) a = (cid:20) 2 k. 0: (3 pts) what is the det(a), (3 pts, (3 pts) what are the eigenvalues of a, (3 pts) For what values of k will a be diagonalizable? (13 points) determine if the matrix a can be diagonalized. The characteristic equation for a is ( + 1)2( 2) = 0. (be careful with your arithmetic).
