Nullspace - Linear Algebra - Solved Exam, Exams of Linear Algebra

Download Nullspace - Linear Algebra - Solved Exam and more Exams Linear Algebra in PDF only on Docsity!

NAME: youu oNS Math 205 - Exam 2 - March 8, 2006 Instructions: Show enough work to justify your final answers. When referring to a theorem, give as much information about the theorem as you can. te Se 7 6 (i) 2 =n 37 ag L. (20pts.) Consider thematix a= | > 7 —f 1) 2). which isrow-equivalent to B = o® J 6 See tee 00 000 {a} What is the rank of A? (b) What is the dimension of the nullspace of A? (c) Find a basis for Col A. (d) Find a basis for Row A. (e) Find a basis for Nul A. oye les 3 pets | Se A La Pret , So rox tale to) A hes rane Baud dim (NalAY= We renk lA) =S- 35 e) VPuvoly ja P> et in eslumns Neat: be loosys he Col A ts ¥ 4 2 G4 el ie] |: [43,134,185 A) Pale mous in TB that bee pets. vy Bases Fe Row A= § (1,0,-2,4,6), (2812229, 40,8,0, 8,65 @) ain Agee Dep aus nonted (ee q ee 10-2 300) cs ae Pee Lee \ S B20. > ee ! Boek eh ky BS oboe ee Mz th xy = oO bE coieecoree se Xe=0 Ka Kay Cree. thus , a oasis fax SL Sy Semen eon