MATH 304 Quiz: MATH 304 Binghamton Math304 Fall2018 Quiz9

• School: Binghamton University
• Department: Mathematical Science
• Course: MATH 304
• Professor: All

Document Summary

Show v is also an eigenvector for l2 = l l with eigenvalue 2. (2) (2 pts) let a, b, c rn n with det(a) = 3, det(b) = 7 and det(c) = 2. Find det(at b 1c 3). (3) (4 pts) find det. Instructions: show all calculations and reasons needed to justify your answers. (1) (2 pts) suppose l : v v and v v is an eigenvector for l with eigenvalue r. Show v is also an eigenvector for l2 = l l with eigenvalue 2. Solution: since l(v) = v we have l2(v) = (l l)(v) = l(l(v)) = l( v) = l(v) = V = 2v shows v is an eigenvector for l2 with eigenvalue 2. (2) (2 pts) let a, b, c rn n with det(a) = 3, det(b) = 7 and det(c) = 2. Solution: det(at b 1c 3) = det(a)det(c)3 det(b) (3)(23) In the rst step, three elementary adder row operations were applied: