Conceptual Questions - Linear Algebra - Exam Solution, Exams of Linear Algebra

This is the Exam Solution of Linear Algebra which includes Solutions, Precisely, Linearly Independent, Matrix, Trivial, Columns, Responses etc. Key important points are: Conceptual Questions, Columns, Responses, Concluded, Solutions, Rank, Eigenvalue, Solutions, Matrices, Solutions are Unique

Typology: Exams

2012/2013

Uploaded on 02/20/2013

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MATH348 - September 26, 2008 NAME: K e. Exam I - 50 Points - 50 minutes SECTION: \ 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) Conceptual Questions. Be sure to justify your responses with either words, math or both. (a) Suppose that the columns of A,» are linearly dependent. What can you concluded about the solutions to Ax = 0? Columns at IN one lin. dep. =? lees Ynen pivieks ia AD D Lue varias 2 Ast=d las co- many Sela (b) Suppose that you given that Rank(Agyg) = 6. What can you conclude about the solutions to Ax = 0? "Ronk (Kane) 6 => Less Bren n-pritets 7) => Cae Seln., (c) Suppose that Ann has an eigenvalue \ = 0. What can you conclude about the solutions to Ax = 0? AZO det(K-ATI =z det (RO=0 = N does ct Crises =) A x =) \ ees “Ane W=-pisiors =) pie, Ss