MATH 2550 Midterm: MATH 2550 Iowa Exam 3formAans
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Suppose a is a 5 7 matrix. If rank of a = 4, then nullity of a : h. 3. 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. The vector~b is in cola if and only if a~v =~b has a solution: a. Suppose a is a 3 4 matrix. Then nul a is a subspace of rk where k : i. Is a unit vector in the direction of . If ~x1 and ~x2 are solutions to a~x =~b, then 5~x1 + 8~x2 is also a solution to a~x =~b: b. Which of the following is an eigenvalue of (cid:20) 4 4: g. 2. Then if dii are the diagonal entries of d, d11 : e. 0.
