MATH V2010 Midterm: MATH V2010 Columbia S11Exam2 LinearAlgebra S11

• School: Columbia University
• Department: Mathematics
• Course: MATH V2010
• Professor: All

Document Summary

[1] (5 pts) [2] (5 pts) [3] (5 pts) [4] (5 pts) [5] (5 pts) [6] (5 pts) total. Please work only one problem per page, starting with the pages provided. If a problem continues on a new page, clearly state this fact on both the old and the new pages. [1] find a basis for the rowspace of the following matrix. Extend this basis to a basis for all of r4. [2] find the determinant of each of the following matrices. 0 0 2 9 b a a b + 1 a a b b c c c + 1 d d d c d + 1. [3] find the inverse of the following matrix. [4] let v1 = (1,0,0), v2 = (1,1,0), v3 = (0,1,1) R3 be a linear map such that. Find the matrix a (in standard coordinates) which represents the linear map l.