Mathematics

# Matrices and Linear Algebra

This chapter describes basic matrix operations in MATLAB and explains their use in solving problems. It includes:
 Function Summary Summarizes the MATLAB linear algebra functions Matrices in MATLAB Explains the use of matrices and basic matrix operations in MATLAB Solving Linear Systems of Equations Discusses the solution of simultaneous linear equations in MATLAB, including square systems, overdetermined systems, and underdetermined systems Inverses and Determinants 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 Eigenvalues Explains eigenvalues and describes eigenvalue decomposition in MATLAB Singular Value Decomposition Describes singular value decomposition of a rectangular matrix in MATLAB

 Mathematics Function Summary