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Solutions - Linear Algebra - Exam Solution, Exams of Linear Algebra

Aliah UniversityLinear Algebra

This is the Exam Solution of Linear Algebra which includes Solutions, Precisely, Linearly Independent, Matrix, Trivial, Columns, Responses etc. Key important points are: Solutions, Precisely, Column Space, Eigenvalue, Dimension, Null Space, Column Space, Row Space, Inconsistent, Unique Solution

Typology: Exams

2012/2013

Uploaded on 02/20/2013

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MATHS348 - September 30, 2009 NAME: Exam I - 50 Points SECTION: y In order to receive full credit, SHOW ALL YOUR WORK. Full credit will be given only if all reasoning and work is provided, When applicable, please enclose your final answers in boxes. 1. (10 Points) Short Answer - Justify your response. (a) Suppose that Ax = b, where A € R®*”, has no solutions. What can be said about solutions to Ax — 0? > Ares 4 n- prnets = Gee Voniakles => Ag: B&B has co- many Sen, (b) Suppose that det(A) = 0. Could there exist a solution to Ax = b for some b € R®? ~> detl(Alco => Sree wens » & Wepivers = Aga CorAd nase no “solq oor Corman depending wb ‘ c) Suppose that the column space of Anxn is precisely R”, What can be said about solutions to Ax = 0? PPI = W-pnets = no dee Vous => Aze8 has on Phe dvvial soln (d) Suppose that A = 0 is an eigenvalue of A. What can be said about solutions to Ax = 0? = det lA-AT)+ det) <0 © poatab = OS- man x sels xo Asis,