MATH 551 Final: MATH 551 KSU Final Exam f00

• School: Kansas State University
• Department: Mathematics
• Course: MATH 551
• Professor: All

Document Summary

Show all your work in the space provided under each question: find a basis for the nullspace of the matrix a = (cid:20)1 2 0. 1 2 1(cid:21): consider the polynomials p1(x) = 2, p2(x) = x2 + 1, p3(x) = x2 + 2x + 1 in p2 = the set of all polynomials of degree less than or equal to 2. Show your computations: let a = . Compute a 1. page 2 of 8: find the coordinates of the vector of r3. 1: de ne t : r3 r3 by t (v) = av where a = of t and a basis for the nullspace of t . Find a basis for the image page 3 of 8: use the gram-schmidt process to nd an orthogonal basis for the subspace of r4 spanned by. 0: compute det a where a =