MATH 3000 Midterm: MATH 331 Mizzou Exam xam1 Solutions
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Be sure that your assertions have adequate explanation: find a basix for the vector space v = is dim(v ) (be careful)? a + 2c + d c + d a + 2b + d. + d a + b + c + d. What: let a be a 7 11 matrix. If dim(n (a)) = 5 then nd the rank of a: determine whether or not. 0 (cid:21) ,(cid:20) 5 (cid:20) 2 5 4: { 1 + x 6x3, x2 + 3, 0, x 1 } p4. Find bases for the row space r(a), the column space c(a), and the null space n (a). What is the rank of a: let e = (cid:20)(cid:20) 5. 1 (cid:21)(cid:21) be ordered bases for r2: verify that e is a basis for r2, compute the transition matrix pf e taking coordinates in e to coordinates in. F : suppose that [v]e = (cid:20) 2. Find [v]f : (5 points each) true/false.
