MATH 240 Midterm: MATH240 MATH232 Summer2007 M2 for MATH240

69 views6 pages

Document Summary

Continue on the back of the previous page if necessary: good luck! 29 ( point each) mark the following statements as either true or false. If all of the entries in a are integers and det integers. 1a = , then all of the entries in. The correspondence [ ]x (cid:1) (cid:1) x (cid:2) is called the co-ordinate mapping: ____ It is possible for the null space of a 10 12 matrix a to have dimension 1: ____ (cid:2) (cid:1) are linearly independent. (3 points 1 point) suppose that. 2 3 4 (cid:2) (cid:4) (cid:4) (cid:4) (cid:6: compute the ( )3,1 -co-factors of a: the remaining six co-factors of a are. 2 (2 points 1 point) consider the matrix. A: find deta. (cid:1) (cid:3) (cid:3) (cid:3) (cid:3) (cid:5) Justify. (3 points 1 point) consider the vector space (cid:1) . 1: find the change of co-ordinates matrix from the basis (cid:1) ,1 2 t: given that [ ]