MATH 415 Study Guide - Final Guide: Row And Column Spaces, Null Character, Triangulum Galaxy

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

Document Summary

Computations: find a basis for n ul(a), col(a), col(at ), and n ul(at ), for. 0: in each part assume that the matrix a is row equivalent to b. Then nd bases for col(a), col(at ), and nul(a) ( nding these last three things might require some calculations). 0 1 (1) a = (2) a = What are vb and vc? (2) let m2 2 be the vector space of all 2 2 matrices. 1 (3) consider the vector space r4 with standard basis e, and (nonstandard) basis b = 0 1(cid:21)(cid:27) and c = (cid:26)(cid:20)1 0 (cid:26)(cid:20)1 0. What are vb and vc? the vector v = (cid:20)1 2 and the vector v = Tutoring room (343 altgeld hall): monday 4-8pm, tuesday 6-8pm, wednesday 5-7, thursday 4-6. 2 and then ips over the line x = y. Testing your understanding: let a, b be two 4 3 matrices.