MATLAB Matrix Operating Functions

Much of MATLAB's power comes from its matrix functions. The most useful ones are:

     eig        eigenvalues and eigenvectors
     chol       cholesky factorization
     svd        singular value decomposition
     inv        inverse
     lu         LU factorization
     qr         QR factorization
     hess       hessenberg form
     schur      schur decomposition
     rref       reduced row echelon form
     iexpm      matrix exponential
     sqrtm      matrix square root
     poly       characteristic polynomial
     det        determinant
     size       size
     norm       1-norm, 2-norm, F-norm, oo-norm
     cond       condition number in the 2-norm
     rank       rank

MATLAB functions may have single or multiple output arguments. For example,

     y = eig(A)
 (or simply eig(A)

produces a column vector containing the eigenvalues of A, while

     [U,D] = eig(A)

produces a matrix U whose columns are the eigenvectors of A and a diagonal matrix D with the eigenvalues of A on its diagonal.

Other Matlab Hints

Click on an item listed below to access additional MATLAB-related hints.

• A General Introduction to MATLAB
• Algorithm Efficiency Comparisons
• The Basics of MATLAB
• MATLAB Command Summary
• FOR, WHILE, and IF Loops
• Formatting Your MATLAB Output
• Generating MATLAB Graphics
• Matrix-Building Functions
• Entering Matrices in MATLAB
• Matrix Operating Functions
• Matrix Operations
• A Brief Explanation of M-Files
• Managing M-Files
• Printing a Hardcopy of Your MATLAB Session
• MATLAB Scalar Functions
• MATLAB Statements, Expressions and Variables
• Submatrices and Colon Notation
• Vector Functions

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