MATH 415 Study Guide - Final Guide: Altgeld Hall, Null Character, Linear Combination

• School: University of Illinois
• Department: Mathematics
• Course: MATH 415
• Professor: J Li

Document Summary

: a 2b = c, 4a + 2c = 0 (cid:21) : b 0(cid:27) r2. : a 2b = 1, 4a + 2c = 0 (cid:21) : a and b in r(cid:27) r2 a b c b. If v is in nul(a), and y is a solution for ay = b, where b 6= 0. Which of the following vectors is also a solution for the system ax = b? (a) y 5v, (b) 5y v, (c) v y: consider the 2 2 matrix. 15(cid:21) ,(cid:20) 4 belong to the column space, col(a), of a. Also, nd b such that col(a) = nul(b): for each of the following matrices, give an explicit description of the nullspace (i. e. , write the nullspace as a span of a nite list of vectors): , ak such that col(a) = span{a1, . Tutoring room (343 altgeld hall): monday 4-8pm, tuesday 6-8pm, wednesday 5-7, thursday 4-6.