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

Dr. Bhim Rao Ambedkar UniversityLinear Algebra

This is the Solved Exam of Linear Algebra which includes Matrix, System, Row Reduce, System, Solve, Top Left Entry, Appropriate Algorithm, Jump, Last Column etc. Key important points are: Generality, Basis, Verify, Span, Invertible, Eigenvalues, Diagonalizable, Values, Matrix, Characteristic Equation

Typology: Exams

2012/2013

Uploaded on 02/27/2013

senagala_876
senagala_876 🇮🇳

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i eo 1. (15 points) Given A= Bed “| Find a basis for the following. 1 oe perie; i 2 Oo -2 | CO 6 j/43 4 0-0-0. © a. (5 pts) Col(A) re | : badls = ee 6 1 ' b. (5 pts) NulfA) 2 2 -/ = | of 18, . . a alee ele 2. (9 points) Prove (verify in generality) that H = span{1j,v3,...,0,} where each @j is in V is a = > subspace of. heh > R= Ct. opVp 9 ae scakar ) Oer , Chere C6=0 2) (Wit..scpie) (ditt +dpvp) = (rtd) i+ . + kpedplig eH closed «undey vector addon ) blew 4. 4¢p07) - Lec\ii+-.+hbeavp € H closed unda- scale mult» B. (12 points) A=| oF . (S pts) What is the det(A)?“f 2 . (2 pts) For what & is A invertible? att . (8 pts) What are the eigenvalues of A? 2, Jo | (Sts) For what values of & will A be diagonalizable? 07 My oo) B ace