# 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
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
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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