| Mathematics | |
MATLAB supports many matrix operations that are commonly used in linear algebra, including matrix arithmetic, linear equations, eigenvalues, singular values, and matrix factorizations. MATLAB enables you to work with entire matrices quickly and easily.
This chapter describes basic matrix operations in MATLAB and explains their use in solving problems. It includes:
Summarizes the MATLAB linear algebra functions
Explains the use of matrices and basic matrix operations in MATLAB
Discusses the solution of simultaneous linear equations in MATLAB, including square systems, overdetermined systems, and underdetermined systems
Explains the use in MATLAB of inverses, determinants, and pseudoinverses in the solution of systems of linear equations
Cholesky, LU, and QR Factorizations
Discusses the solution in MATLAB of systems of linear equations that involve triangular matrices, using Cholesky factorization, Gaussian elimination, and orthogonalization
Matrix Powers and Exponentials
Explains the use of MATLAB notation to obtain various matrix powers and exponentials
Explains eigenvalues and describes eigenvalue decomposition in MATLAB
Describes singular value decomposition of a rectangular matrix in MATLAB
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