MATH 2550 Midterm: MATH 2550 Iowa Exam 3formC
Document Summary
Suppose a is a 5 6 matrix. If rank of a = 4, then nullity of a : a. Is a = diagonalizable: a. yes, b. no, c. none of the above. Suppose a is a 3 4 matrix. Then nul a is a subspace of rk where k : a. Suppose a = pdp 1 where d is a diagonal matrix. Suppose also the dii are the diagonal entries of d. if p = [ ~p1 ~p2 ~p3 ] and d11 = d33, then ~p1 + ~p3 is an eigenvector of a: a. Which of the following is an eigenvalue of (cid:20) 4 4: a. If ~x1 and ~x2 are solutions to a~x =~b, then 5~x1 + 8~x2 is also a solution to a~x =~b: a. Suppose a is a square matrix and a~x =~0 has an in nite number of solutions, then given a vector. ~b of the appropriate dimension, a~x =~b has: a.