MATH 240 Final: MATH 240 NIU Final06s
Document Summary
Math 240, draft final exam, may 11 , 2006. Professors beachy, ellers, hyeon (1) (20 points) let. 8 (a) find a basis for the column space of a. A = (b) find a basis for the nullspace of a. (c) let l : r5 r3 be the linear transformation that has a as its standard matrix. 2 (2) (15 points) let p2 be the vector space of all polynomials in the variable t of degree 2 or less. {2t2 + 3t + 4, t2 + t + 1, 3t2 + 4t + 5} (3) (15 points) let p2 be the vector space of all polynomials in the variable t of degree 2 or less. Let s be the ordered basis {t2, t, 1} for p2. L : p2 p2 be the linear transformation such that for all p(t) in p2,
