2. ( Feel free to use Mathematica) Given are the matrices 1 1 5 2 2 -4 6. 3 -1 2 4 1 1 -2 3 3 A = 3 3 4 В - 4 4 7 -1 4 2 3 3 2 1 7 1 5 1 4 2 11 Give a base for C1 for the column space col(B) and a base C2 for the column space col(A). Show that these vector spaces are equal, as well as specify the base swap matrix PC,+C2:

2. ( Feel free to use Mathematica) Given are the matrices 1 1 5 2 2 -4 6. 3 -1 2 4 1 1 -2 3 3 A = 3 3 4 В - 4 4 7 -1 4 2 3 3 2 1 7 1 5 1 4 2 11 Give a base for C1 for the column space col(B) and a base C2 for the column space col(A). Show that these vector spaces are equal, as well as specify the base swap matrix PC,+C2:

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 2P

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