Lecture17 - Engineering Analysis ENG 3420 Fall 2009 Dan C....

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Engineering Analysis ENG 3420 Fall 2009 Dan C. Marinescu Office: HEC 439 B Office hours: Tu-Th 11:00-12:00
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2 Lecture 17 Lecture 17 Reading assignment Chapters 10 and 11, Linear Algebra ClassNotes Last time: Symmetric matrices; Hermitian matrices. Matrix multiplication Today: Linear algebra functions in Matlab The inverse of a matrix Vector products Tensor algebra Characteristic equation, eigenvectors, eigenvalues Norm Matrix condition number Next Time More on LU Factorization Cholesky decomposition
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Matrix analysis in MATLAB Norm Matrix or vector norm normest Estimate the matrix 2-norm rank Matrix rank det Determinant trace Sum of diagonal elements null Null space orth Orthogonalization rref Reduced row echelon form subspace Angle between two subspaces
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Eigenvalues and singular values eig Eigenvalues and eigenvectors svd Singular value decomposition eigs A few eigenvalues svds A few singular values poly Characteristic polynomial polyeig Polynomial eigenvalue problem condeig Condition number for eigenvalues hess Hessenberg form qz QZ factorization schur Schur decomposition
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Matrix functions Expm Matrix exponential Logm Matrix logarithm Sqrtm Matrix square root Funm Evaluate general matrix function
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Linear systems of equations \ and / Linear equation solution inv Matrix inverse cond Condition number for inversion condest 1-norm condition number estimate chol Cholesky factorization cholinc Incomplete Cholesky factorization linsolve Solve a system of linear equations lu LU factorization
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This note was uploaded on 02/17/2012 for the course EGN 3420 taught by Professor Staff during the Spring '08 term at University of Central Florida.

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Lecture17 - Engineering Analysis ENG 3420 Fall 2009 Dan C....

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