EE 2300 Linear Algebra for Engineers

1
EE 2300Linear Algebra for Engineers

• Text
• Linear Algebra for Engineers and Scientists
• using MATLAB
• Kenneth Hardy
• Home Page
• http//www.utdallas.edu/pervin

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EE 2300Linear Algebra for Engineers

• Text
• Linear Algebra for Engineers and Scientists
• gtgtgt using MATLAB ltltlt
• Kenneth Hardy
• Home Page
• http//www.utdallas.edu/pervin

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Chapter OneLinear Systems

• 1.1 Solving Linear Systems
• 1.2 Echelon Forms, Rank
• 1.3 Applications

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Linear System of Equations

• m equations in n unknowns xi i1..n

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Solution Set

• A solution to a linear system consisting of m
  equations in n unknowns xi i1..n is an
  assignment xici for i1..n so that all equations
  are satisfied.
• Classification of a linear system (0, 1, 8)
• Inconsistent no solutions
• Consistent solutions exist
• The solution is unique
• There are an infinite number of solutions

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Forward EliminationElementary Equation
Operations (EEO)

• Replacement
• Interchange
• Scaling
• Pivot Variable
• Free Variable
• Triangular Form

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Matrix Representation

• Coefficient Matrix
• Constant Terms
• Augmented Matrix

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Elementary Row Operations (ERO)

• (Row) Replacement ri mrj -gt ri
• (Row) Interchange ri lt--gt rj
• (Row) Scaling cri -gt ri
• (Row) Equivalent Matrices

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MATLAB

• Download the M-file gauss.m from the web-site
  www.prenhall.com or the EE2300 web-site under
  handouts and use it to solve problems on page
  20