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EE 2300 Linear Algebra for Engineers

Text : Linear Algebra for Engineers and Scientists using MATLAB Kenneth Hardy Home Page : http://www.utdallas.edu/~pervin. EE 2300 Linear Algebra for Engineers. Text: Linear Algebra for Engineers and Scientists >>> using MATLAB <<< Kenneth Hardy Home Page:

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EE 2300 Linear Algebra for Engineers

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  1. Text: Linear Algebra for Engineers and Scientists using MATLAB Kenneth Hardy Home Page: http://www.utdallas.edu/~pervin EE 2300Linear Algebra for Engineers

  2. Text: Linear Algebra for Engineers and Scientists >>> using MATLAB <<< Kenneth Hardy Home Page: http://www.utdallas.edu/~pervin EE 2300Linear Algebra for Engineers

  3. 1.1 Solving Linear Systems 1.2 Echelon Forms, Rank 1.3 Applications Chapter OneLinear Systems

  4. Linear System of Equations • m equations in n unknowns {xi : i=1..n} :

  5. Solution Set • A solution to a linear system consisting of m equations in n unknowns {xi : i=1..n} is an assignment xi=ci for i=1..n so that all equations are satisfied. • Classification of a linear system: (0, 1, ∞) • Inconsistent: no solutions • Consistent: solutions exist • The solution is unique • There are an infinite number of solutions

  6. Forward EliminationElementary Equation Operations (EEO) • Replacement: • Interchange: • Scaling: • “Pivot Variable” • “Free Variable” • Triangular Form

  7. Matrix Representation • Coefficient Matrix: • Constant Terms: • Augmented Matrix:

  8. Elementary Row Operations (ERO) • (Row) Replacement ri – mrj -> ri • (Row) Interchange ri<--> rj • (Row) Scalingcri -> ri • “(Row) Equivalent Matrices”

  9. 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

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