Linear Algebra Performs computations associated with matrices
Download

Linear Algebra Ranking & Summary

Linear Algebra Tags

calculator Algebra Library Algebra equation Custom Matrices Metrology computations multiply matrices handle matrices Matrices performs MATLAB matrices electrical computations equation system manipulate dense matrices matrices calculator Structure Matrices hermitian matrices estimate distance matrices calculate Markov matrices Markov matrices calculator calculate matrices extract matrices list matrices solve matrices operation calculate sum of matrices eigenvector spam removal bitcomet share lbm to draw cd calendar template twittx twitter client windows mobile ftp vsflexgrid 8.0 bio data entry free software linear sas non-linear analysis nidesoft rm converter algebra tutor

Linear Algebra Description

With Linear Algebra, you can solve systems of linear equations using the LU factorization of the matrix of coefficients. You can also perform different operations (add, subtract, multiply), finding the determinant, trace, inverse, adjoint, QR or LU factors, eigenvalues and eigenvectors, establish the definiteness of a symmetric matrix, perform scalar multiplication, transposition, shift, create matrices of zeroes or ones, identity, symmetric, general, random matrices, etc. Main features: Add - Finds the sum of two matrices. Subtract - Finds the difference of two matrices. Multiply - Finds the product of two matrices. Determinant -Finds the determinant of a square matrix. Trace -Finds the trace of a square matrix. Inverse - Finds the inverse of a square matrix, if it exists. Adjoint - Finds the adjoint of a square matrix. Adjoint by Inverse - Finds the adjoint of a square, nonsingular matrix. Transpose - Finds the transpose of a matrix. Test Definiteness - Establishes the positive or negative definiteness, positive or negative semidefiniteness, or indefiniteness of a symmetric matrix. Test Symmetry - Tests a matrix for symmetry. Simultaneous Linear Equations - Solves systems of linear equations using the method of Gaussian Elimination. Simultaneous Linear Equations by LU Factors - solves systems of linear equations using the LU factorization of the matrix of coefficients. This allows quicker solution of many systems that share the same matrix of coefficients but have different right-hand sides. Simultaneous Linear Equations - Overdetermined or Inconsistent Systems - Finds the least-squares solution to a system of linear equations which may be inconsistent or overdetermined with more equations than unknowns. Eigenvalues and Eigenvectors - Finds the real eigenvalues and corresponding eigenvectors of a matrix. If the matrix has a full set of eigenvectors (diagonalizable), then a full set will be found even if some eigenvalues are repeated. Eigenvalues are found using the Shifted QR method. The corresponding eigenvectors are found using the Shifted Inverse Power algorithm. Matrices are first transformed into their upper-Hessenberg form. Multiply by a Scalar - Performs scalar multiplication.

Linear Algebra Related Software