MATH 551 Midterm: MATH 551 KSU Test2 s16

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

Document Summary

Show all your work: on each problem, 1 point is dedicated to communication. Problem 1 [11 points] find an lu -factorization of the matrix a. If not, write one vector as a linear combination of the other vectors. v1 = . U = (cid:26)(cid:20) x y (cid:21) | x + y = 0(cid:27) and. V = (cid:26)(cid:20) x y (cid:21) | x = 1(cid:27) . Problem 4 [7 points] calculate the following dot products where, v1 v1, v1 v2, and v2 v2 v1 = Problem 5 [11 points] find a basis for r3 that includes the vectors: v1 = . Problem 6 [19 points] find a basis and the dimension of the null space, the column space and the row space of the given matrix a. Bonus problem [4 points] state whether the given statements are true or false (circle true or.